## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 6 Rational Exponents and Radical Functions - 6.1 Evaluate nth Roots and Use Rational Exponents - Guided Practice for Examples 1, 2, and 3 - Page 415: 12

9.65

#### Work Step by Step

We know the following rule: $$(\sqrt[n] x)=x^{\frac{1}{n}}$$ Thus, we first convert any square root expression to a fraction, if necessary, before plugging it into the calculator. (One can plug it into the calculator without doing this, but it is harder.) Then, being sure to use parenthesis around the fraction in the exponent and around the base to make sure the order of operations are correct, we find that the calculator gives an answer of: $$9.65$$

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