CHECK FOR THE FOLLOWING: Does the PR-Interval fall within the norm of 0. Double Flooring It [09/04/2011] A student seeks to evaluate a limit of a difference of two floor functions. For example, the cube root of 8 is 2 since 2 x 2 x 2 = 8. Eigenvalues and Eigenvectors 6. 1 Evaluate Nth Roots and Use Rational Exponents. Simplify the cube root of 125 x to the sixth y to the third power. 5,8,11,14,… 2) If n is the term. How to Calculate Cube Root by Hand. Find the area of part of an object. The polynomial function is fine, and it does evaluate to zero at the known roots which are integers. And you can type it right from your keyboard. For example, 8 is a perfect third power, or perfect cube, because 8 = 2 3. Evaluate an expression with complex numbers using an online calculator. Evaluating IRU n = 12, yields, which simplifies to 2 1 or 2. Evaluate Nth root of a rational to a correctly rounded float. The number -1, on the other hand, is all the way on the other side, 180 degrees frem the positive real axis. Page 414; Page 415; Page 416; Page 417; Page 418; Page 419. Both 1=4 and 1=4 are square roots (i. Here is a function that calculates the nth-root properly for negative values, where value is the number which will be rooted by n :. Maze - Radicals - Simplifying nth root (with variables) - 2 Mazes This maze is part of : Maze - MEGA BUNDLE Radicals (50%OFF) - 26 MAZES This maze is part of : Maze - BUNDLE Radicals - Simplifying, Adding, & Subtracting Radicals This activity is a good review of understanding how to "Simplify the nth root (with variables)". The cubic root to -27 is well defined(-3) by all math laws. a 2 = (a 1) 2 – 1 = (√3) 2 – 1 = 3 – 1 = 2. If a = b, then a + c = b + c. Finding square roots and converting them to exponents is a relatively common operation in algebra. To start practising, just click on any link. Excel's powerful mathematical toolkit includes functions for square roots, cube roots, and even nth roots. • The square root and nth root operator returns a real root whenever one is available. Chapter 3: Polynomial Functions 3-19 Roots of Polynomials • A problem related to evaluating polynomials is solving for the roots of a polynomial • Recall that the roots of are those values of x where • For polynomials with real number coefficients, the roots may be real numbers and/or pairs of complex conjugate numbers. Later we will learn how to evaluate complicated algebraic expressions such as. Polymathlove. So taking the cube root of something is the same thing as raising that something to the 1/3 power. The roots function considers p to be a vector with n+1 elements representing the nth degree characteristic polynomial of an n-by-n matrix, A. undefined; Period for Trig Functions; Fabio Maccagnan Operaciones con monomios. We find the nth roots of the numerator and denominator for finding the nth roots of fractions. There is good evidence that tables of the logarithms of sines and cosines were in use by the Arab astronomer, Ibn Jounis as early as the 13th century. is not a real number; generally, if 𝑥2 equals any negative number, the. It includes 5 examples. Other rational numbers, such as and — I —, can also be used as exponents. Working With Radicals. In this maths tutorial, we introduce exponents / powers and roots using formulas, solved examples and practice questions. So the polynomial is divisible by s+2. 81 Find the indicated real nth root(s) of a. The solution of du=dt D Au is changing with time— growing or decaying or oscillating. The perfect 8th is 12 half tones above the perfect 1st. That is really saying to do a cube (3) and a square root (1/2), in any order. Some can be done quickly with a simple Calculus I substitution and some can be done with trig substitutions. 67 70 62 60 15. To find the 8th-root, you would square-root x, square-root the result and square-root the result again. Find the two numbers closest to the square root that you are using. Understanding nth Roots. No real nth roots. So if we are using the normal range for #Arg(z) in (-pi, pi]# then the standard form of #(4pi)/3# is #(-2pi)/3# and the principal fourth root is: #2(cos(-pi/6)+i sin(-pi/6)) = sqrt(3)-i. +1 Solving-Math-Problems. Here is a function that calculates the nth-root properly for negative values, where value is the number which will be rooted by n :. or any other number to find the 4th root, etc. Simplest form. asin inverse sine (arcsine) of a value or expression acos inverse cosine (arccos) of a value or expression atan inverse tangent. For example, let's find the 3rd root of 64, which is 4. You can extend the concept of a square root to other types of roots. Do you remember how to check this? To say that x=1 is a root of P(x) is the same as saying that P(1)=0. In this radical calculator Y is a real positive number and x is a Nth root or radical power. For example, the principal cube root of –27 is –3. Sum of all three digit numbers divisible by 6. T d mMnaMdpe i 1w ti WtnhI SIfn xf NiRn 7i6t zeP tPFrFex-ZAMlwgQe4b frRau. We have only defined the nth Fibonacci number in terms of the two before it: the n-th Fibonacci number is the sum of the (n-1)th and the (n-2)th. ANS: B PTS: 1 DIF: L4 REF: 5-1 nth Roots, Radicals, and Rational Exponents OBJ: 5-1. Roots in exponent form, softmath. The solution of du=dt D Au is changing with time— growing or decaying or oscillating. So we somehow need to manipulate these 2 roots, the 3 and the squared,. Vocabulary 1. sqrt(3) has the least argument (pi/3) and hence is the principal root, not -2. So we somehow need to manipulate these 2 roots, the 3 and the squared,. In this section you will see that roots can be expressed with expo-nents also. Assignment pp. 3 Explain and use the laws of fractional and negative exponents, understand exponential functions, and use these functions in problems involving exponential growth and decay. function, and then enter the argument. For example, the square root of 9 is 3 because 3 * 3 = 9. How to Calculate Cube Root by Hand. Instead you need to pass 1/10 as n√x = x(1/n). So, to evaluate and simplify an imperfect square, you need to follow these steps: 1. Your students should know that math—real math with scary things like exponents—can be done without a calculator. 62/87,21 62/87,21 62/87,21 0-4 nth Roots and Real Exponents. Well one thing we could do is we could say, look if P squared is equal to 0. -2 r 1 25 16. Therefore a good substitution will be to take care of both root-functions at the same time. Having an nth root of some number is equivalent to taking that number to the 1/n power. They identify roots, and round answers to two decimal. No number where the root is means its a square root (2) 3 Simplifying Radicals. As an example, -3 x -3 = +9. 1 Evaluate nth Roots and Use Rational Exponents - 6. It's a wonderful day to hike this well-marked trail. In the first two lessons, we learned the types of real numbers and how they are related. Carleen Eaton’s Algebra 2 online class with clear explanations and tons of step-by-step examples of commonly seen problems. Created Date:. (-2) x 2 is also 4 and (-3) x 2 is also 9. 1 - Evaluate nth Roots and Use Rational Exponents Rational exponents: n is the index of the radical. Exercises Square Root Cube Root nth Root Definition of bä *Exampleai Simplify 625 5-5. • Benchmark MA. : If then is root of. Maze - Radicals - Adding & Subtracting "Simplified" Square Root This maze is part of : Maze - MEGA BUNDLE Radicals (50%OFF) - 30 MAZES This maze is part of : Maze - BUNDLE Radicals - Simplifying, Adding, & Subtracting Radicals This activity is a good review of understanding how to "Add and Subtract Radicals (already simplified square roots only)". Square Roots, Cube Roots, nth Roots. Some can be done quickly with a simple Calculus I substitution and some can be done with trig substitutions. Most calculators can do that. We can use the Intermediate Value Theorem to get an idea where all of them are. In general, if and only if. If n is even, b must be greater than or equal. 144 Radical Notation: a The pieces of a radical expression for square roots: a, are. Simplify a "nth Root" Radical Expression. When working with square roots, we learned how to "rationalize" the denominator of a fraction if it contained a square root. Now Do Practice Exercises 1 – 5. Nth root calculator. Since this is the positive case of the square root function, I am sure that its range will become increasingly more positive, in plain words, skyrocket to positive infinity. The sixth root of a number is the number that would have to be multiplied by itself 6 times to get the original number. the second roots) of 1=16, because, 42 = 16 and ( 4)2 = 16. So, if you want to calculate the 10th root of 100, the base number is 100 and the power is 1/10. nth root of unity is any complex number such that it gives 1. For others, type in 3, hit that button, and then type 64, and hit =. In this algebra instructional activity, students evaluate 20 problems in which they work with nth roots and rational exponents. The same vocabulary that we learned for square roots applies to nth roots. Other rational numbers, such as and — I —, can also be used as exponents. Whatever choice is made, it should be stated clearly in the documentation. How to evaluate nth roots. The middle 3rd is 4 half tones above the perfect 1st, so evaluate IRU n = 4. Our review of these techniques will focus on the manual entry of formulas, but check out our tutorial on using Excel if you need a refresher on formula entry for core functions. Other roots are defined similarly and identified by the index given. The pictures. Evaluating Roots of Monomials: Evaluating Roots of Monomials To evaluate nth roots of monomials: (where c is the coefficient, and x, y and z are variable expressions) or Simplify coefficients (if possible) For variables, evaluate each variable. Fractional radicand. Homework Help On Finding Nth Roots And Rational Exponents. For example, the cube root of 8 is 2 since 2 x 2 x 2 = 8. 4 Simplify 5 Simplify 6 Simplify 7 Simplify 8 Rewriting a Radical to have a Rational Exponent 9. Limit of nth root of 1/n as n goes to infinity. Every positive real number x has a single positive nth root, called the principal nth root, which is written. the radicand has no perfect nth powers as factors 2. Screen 5 You may be feeling comfortable finding square roots and cube roots, but let’s review how to find nth roots. Below is a convenient wrapper function that, given a real number x and an integer N, will construct the polynomial coefficient vector described above and then evaluate the Nth roots of x using FZ_ROOTS. If a in general we may not be able to evaluate them exactly, but we can. –To do this we simply evaluate f(a+b 2) and compare the sign with that of f(a) and f(b). Simplify the expression. 2 Rational Exponents. Introduction to nth Roots; Radical Form vs. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Simplify Rational Exponents am n/ n an a1/ n 2 1. breadcrumb span span:first-child,. I know that I can find the cube root of the square root, but cube root doesn't appear to be a primitive expression. 404-405 4-61 every 3rd; 3 Evaluating Nth Roots. Square roots of a negative number are not real. They also learn how to evaluate, estimate (including plotting on a number line), and simplify nth-roots. You already know of one relationship between exponents and radicals: the appropriate radical will "undo" an exponent, and the right power will "undo" a root. Algebra 2 Standard 12. Evaluate Question: "What number, when raised to the 3rd power gives us 27?" B. Double Flooring It [09/04/2011] A student seeks to evaluate a limit of a difference of two floor functions. 1: Evaluate nth Roots and Use Rational Exponents Simplify the expression. If the nth root of an even power is an odd power, take the absolute value of the result to guarantee that the result is nonnegative. Simplify radicals by using the division property of radicals. 6 Understanding negative exponents. n-th Roots and Rational Exponents n-th roots - For any real numbers a and b and any positive integer n, if !!=! then !!=!. VOCABULARY nth root of a For an integer n greater than 1, if bn 5 a, then b is an nth root of a. The same vocabulary that we learned for square roots applies to nth roots. Find more Mathematics widgets in Wolfram|Alpha. 1 Evaluate nth Roots and Use Rational Exponents Goal p Evaluate nth roots and study rational exponents. Evaluate an expression with complex numbers using an online calculator. 0:05 Formula for Finding the nth Root of a. Ex) , then _____. So if we are using the normal range for #Arg(z) in (-pi, pi]# then the standard form of #(4pi)/3# is #(-2pi)/3# and the principal fourth root is: #2(cos(-pi/6)+i sin(-pi/6)) = sqrt(3)-i. Parts of Radical and Exponential Expressions. 62/87,21 0-4 nth Roots and Real Exponents Because there is no real number that can be raised to the fourth power to produce ±81, LVQRWDUHDOQXPEHU. real number is a real number. com lesson22evaluateandgraphpolynomialfunctions 2 https://sites. 14^2/5 write in radical notation what is (root 5 of 14)^2. assume x represents a positive number: root of 45x^4 root 0f 7 * root of 14 = sqrt 7 * sqrt 7 * sqrt 2 = 7 sqrt 2 root of 1/5 = 1 /(sqrt 5) root of 9/16 = sqrt 9/sqrt 16 = 3/4. Write each expression in radical form, or write each radical in exponential form. • Simplify problems using mathematical operations. 1 Evaluate Nth Roots and Use Rational Exponents A2. Both X and N must be real scalars or arrays of the same size. How to Find a Square Root Without a Calculator. breadcrumb span span:nth-child(2){display:none;} Bam!. • Benchmark MA. How to evaluate nth roots of real numbers using both radical and rational notation? How are radicals and exponents related? 7. The n-th root of x is: n√x = r. ANS: B PTS: 1 DIF: L4 REF: 5-1 nth Roots, Radicals, and Rational Exponents OBJ: 5-1. Evaluate the expression without using a calculator. Algebra 2 Ch 3. a 2 = (a 1) 2 – 1 = (√3) 2 – 1 = 3 – 1 = 2. Add, subtract, multiply, and divide radical expressions Evaluate numerical expressions with. Evaluating Roots of Monomials: Evaluating Roots of Monomials To evaluate nth roots of monomials: (where c is the coefficient, and x, y and z are variable expressions) or Simplify coefficients (if possible) For variables, evaluate each variable. Given a rational function R(x), we consider the problem of evaluating the sum X i R(i) over all nth roots of unity i (often with i = 1 excluded. Engaging math & science practice! Improve your skills with free problems in 'Evaluate nth Roots and Use Rational Exponents' and thousands of other practice lessons. Most calculators can do that. lim n √[ f(x) ] = n √[ lim f(x) ]. 6862x 4 + 46. : If then is root of. breadcrumb span span:first-child,. For example: But there is another relationship — which, by the way, can make computations like those above much simpler. Factor the number completely. Start studying Simplifying nth roots. nth Roots and Rational Exponents. how to i use the nth root button on my scientific calculator? i have found the correct button (x followed by the square root) but how do i change the little x to a 4?. Bring out groups by the number of the root. Evaluate nth roots of real numbers using both radical notation and rational exponent notation. 4 Simplify 5 Simplify 6 Simplify 7 Simplify 8 Rewriting a Radical to have a Rational Exponent 9. To find the 8th-root, you would square-root x, square-root the result and square-root the result again. Algebra II Review 6. The function thus has a branch cut along the negative half real axis. So the nth power of an 1 is a. exponent m/n refers to the nth root raised to the mth power numbers: 8^2/3 = 3rd root of 8 to the power of 2. 2 Simplify expressions in exponential form. Press [2nd][ x 2 ] to select a square root and type the expression you would like to evaluate. com and figure out equations by factoring, systems of equations and a large amount of other math topics. Sum law for limits states that the limit of the sum of two functions equals the sum of the limits of two functions. : If then is root of. So the nth of Fibonacci number is given by this expression both big phi and little phi are irrational numbers. For example, the square root of 9 is 3 because 3 * 3 = 9. Showing top 8 worksheets in the category - Nth Root. Radicals and Roots Calculator. Multiple Roots. To start practising, just click on any link. This is a video tutorial on how to simplify square roots. Instead of writing the 5 th root of 32. Notice that we have used the eval() function instead of float() to convert complex number as well. The bottom number is the nth root. In the event you seek help on exam review or perhaps intermediate algebra syllabus, Polymathlove. 1 Evaluate nth Roots and Use Rational Exponents. Also notice the way in which the output is formatted. How to find nth term of the sequence ? There is some arrangement or pattern followed in every sequence. The optimum frequency ratio of the middle 3rd with the perfect 1st is 1. The exponent indicates the nth root. An nth root can be denoted by a radical symbol with an index. 4 Simplify 5 Simplify 6 Simplify 7 Simplify 8 Rewriting a Radical to have a Rational Exponent 9. Nth roots and rational exponents question? Can someone explain step by step how to evaluate the expression (81)^3/4 ? I know the answer is 27, but I missed the lesson and don't know how to do it. We carry a great deal of high-quality reference information on subjects ranging from line to equation. That is really saying to do a cube (3) and a square root (1/2), in any order. is written in radical expression form. In the event you seek help on exam review or perhaps intermediate algebra syllabus, Polymathlove. For example, the eighth root of 6… For example, the eighth root of 6,561 is 3 as 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 is…. From this we get the following definition. The function thus has a branch cut along the negative half real axis. A c PA IlqlC Brzi Bg whxtSs K mrSeLs OeJruv Ne7dz. ★ Nth Heating & Air Conditioning ★ 605 Geneva Park Dr, Burlington, Ontario, 9053339197 ★ Air Conditioning, airconditioning equipment, conditioning, Heating, Heating & Air, Heating & Air Conditioning, Heating and Air Conditioning. - Notice the placement of the m and n. Use this calculator to find roots of positive and negative real numbers. 0) produces (2. Also, if n If a root n is a perfect square such as 4, 9, 16, 25, etc. i have an exam in the morning an must know how to use it. In the first two lessons, we learned the types of real numbers and how they are related. Figure 8-3 compares these two alternatives. how to i use the nth root button on my scientific calculator? i have found the correct button (x followed by the square root) but how do i change the little x to a 4?. Evaluating a polynomial at the Nth roots of unity is known as the Discrete Fourier Transformand has many applications. Here’s the magic sauce that you need to hide the root node AND the following carrot (greater than) separator symbol. This module provides a number of objects (mostly functions) useful for dealing with Chebyshev series, including a Chebyshev class that encapsulates the usual arithmetic operations. I will one as. Simplify each radical (similar to p. when n is an odd integer. Note that, a priori, we do not. This is the video about how to evaluate square roots. Evaluate each expression. 4 Simplify 5 Simplify 6 Simplify 7 Simplify 8 Rewriting a Radical to have a Rational Exponent 9. Also unlike a square root, the cube root of. Vieta's formula relates the coefficients of polynomials to the sum and products of their roots. Evaluate Question: "What number, when raised to the 3rd power gives us 27?" B. Negative exponents 6. ANS: B PTS: 1 DIF: L4 REF: 5-1 nth Roots, Radicals, and Rational Exponents OBJ: 5-1. All of the sides are going to be the square root of X, so it's going to be the square root of X by the square root of X and this side is going to be the square root of X as well and that's going to be the square root of X as well. 2nd level. How to evaluate nth roots. Returning to our example, the second degree Taylor Polynomial for sin x near0is P 2(x) = sin0+cos0(x −0)− sin0 2 (x −0)2 = 0 +1(x)+0 It is rather disappointing that this turns out to be no different from P 1 for sin x. : If then is root of. Once you've memorized a few common perfect squares and know how to factor a number, you'll be well on your way to simplifying the square root. And if we take a product of a bunch of stuff and. They identify roots, and round answers to two decimal. Real cube roots of 64 Explain what each fractional exponent mean, then evaluate. The same vocabulary that we learned for square roots applies to nth roots. Recall that if 𝑥2=−1, then. For example, a cube root is equivalent to an exponent of 1/3; a fourth root is an exponent of 1/4. In imaginary numbers, let i = sqrt [-1]. com and figure out equations by factoring, systems of equations and a large amount of other math topics. Limit of nth root of 1/n as n goes to infinity. Rational Exponent Form; Simplifying nth Roots (Product Property) Simplifying nth Roots by Rationalizing the Denominator (Quotient Property) Solving Equations Using nth Roots; Properties of Rational Exponents; Adding and Subtracting with nth Roots; Graphing Radical/Square Root Functions. notebook 1 September 28, 2015. Some of the worksheets displayed are What goal 1, Name evaluate nth roots and use rational exponents, Nth roots and rational exponents, Name date period work, 1 simplifying square roots, Square root equations, Radicals. In this resource from CK-12 we look at how to evaluate nth roots. Blogs Discontinued Hello Weber School District Parents, Teachers, and Staff, On March 15th, 2019, the server that housed our Wordpress Blogs has been. Objectives: To simplify expressions involving 𝑛th roots and rational exponents. As this problem involves. "nth Root of " - II. 1 Evaluate nth Roots & use Rational Exponents. Simplify the cube root of 125 x to the sixth y to the third power. So split the number inside the fourth root as the product of two perfect squares and then cancel out the power with the fourth root giving its roots. choose a root from the pulldown menu or; enter the root in the green box. So we can just apply that over here: the fourth root of all of this is equal to 5 a to the 4th, b to the 12th power, all of that to the one fourth power. 5 Exponents with decimal and fractional bases. 1 nth Roots and Rational Exponents Learning Objectives: 1. Evaluate Question: "What number, when raised to the 3rd power gives us 27?" B. The cube root of k is written as QR. Roots in exponent form, softmath. Press square root 12 times 3. x = y 2 + 1. The sixth root of 4,096 is 4, as 4 x 4 x 4 x 4 x 4 x 4 is 4,096. First, we will define what square roots are and how you find the square root of a number. And if we take a product of a bunch of stuff and. Real nth Roots of a Let n be an integer (n > l) and let a be a real number. , 16) on every pair of digits beginning with the first decimal place. Nth Root (Radical) calculator is a simple tool used to calculate the N th Root of the given real number which has the N th radical value. However, negative numbers do not possess any square roots. For example, 8 is a perfect third power, or perfect cube, because 8 = 2 3. 1 Evaluate nth Roots and Use Rational Exponents Goal p Evaluate nth roots and study rational exponents. Page 7, complex numbers nth roots of unity cube roots of unity trigonometric form complex roots modulus argument, Brightstorm. CliffsNotes study guides are written by real teachers and professors, so no matter what you're studying, CliffsNotes can ease your homework headaches and help you score high on exams. By applying the position value of n in the nth term, we must get the value in that particular place. com Higher 4 Percentages and Fractions of Amounts Nth Term Rule Drawing Graphs Probability Simplify Fully: 1)3 3 2× 5 6 2) 6f5g3 3f2g3 3) Evaluate 27 2 3 1)1 3 of £252 2)40%of £420 1) Work out the nth term rule of this sequence. nth Roots and Rational ExponentsSolve Radical Equations. The sixth root of a number is the number that would have to be multiplied by itself 6 times to get the original number. What is the first integer value of n where the. To use the calculator simply type any positive number into the 'enter number' box then type in the 'nth root' you want to find. We will also find out the nth root of a number by using the POWER function in Excel 2016. Types of Roots Root Algebra Example Square Root. That's one cube root. Carleen Eaton’s Algebra 2 online class with clear explanations and tons of step-by-step examples of commonly seen problems. Then we will apply similar ideas to define and evaluate nth roots. This chapter enters a. com, music terms powerpoint, how to use graphing calculator to find inverse, CALCULATE Y AND X INTERCEPTS of square root. The value of is a number such that the nth power of the number gives you. Instead you need to pass 1/10 as n√x = x(1/n). It accepts inputs of real numbers for the radicand. Nth root calculator. 5x^7 + -2x^5 + 6x^3 + 1x^0 at x=2 The program must read in the number of non-zero terms in the polynomial followed by the co-efficient and power of each term. Or in particular, or in general, the nth root something is the same thing as that something to the 1 over n power. We can define the cube root of a number asIf 𝑥3=𝑎, then 𝑥=3𝑎. Factors of the radicand. 1 Georgia Performance Standard(s) MM3A2a, MM3A2b, MM3A3d Your Notes. The simple root x == 1 (or t == 0) appears twice because Cos[Pi t] == 1 has a double root. For arbitrary complex numbers, the principal square root is defined to satisfy \(\sqrt x = \exp(\log(x)/2)\). The same vocabulary that we learned for square roots applies to nth roots. Radicals - Higher Roots Objective: Simplify radicals with an index greater than two. Using L'Hospital's Rule to evaluate limit to infinity. n th Roots. Calculate nth root of a number. The cube root of k is written as QR. Laplace to the rescue (2) Laplace to the rescue (2) I won’t forget to evaluate the integral, but for the sake of. The calculator will generate all the work with detai. - TWITTERMATH @dmarain 12-31-18 5 executives are each assigned their own parking spot. Then we will apply similar ideas to define and evaluate nth roots. We find the nth roots of the numerator and denominator for finding the nth roots of fractions. The advantage of using exponents to express roots is that the rules of ex-ponents can be applied to the expressions. Use this calculator to find the fourth root of a number. $16:(5 62/87,21 While you are taking an even root of an even power, the result is an even power, so you do not need to use the. Topical and themed;. Showing top 8 worksheets in the category - Nth Root. Multiplying Radicals of Different Roots - Concept. So we somehow need to manipulate these 2 roots, the 3 and the squared,. Example of How to Evaluate a “nth Root” Radical Expression. One of the easiest tests you can use to help you decide whether a series converges or diverges is the nth term test. Evaluating Roots of Monomials: Evaluating Roots of Monomials To evaluate nth roots of monomials: (where c is the coefficient, and x, y and z are variable expressions) or Simplify coefficients (if possible) For variables, evaluate each variable. Calculate nth roots via calculator.