Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Summary Exercises - Performing Operations with Radicals and Rational Exponents: 4

Answer

The given radical expression, $ \sqrt[3]{x^5y^6} ,$ is not simplified because the radicand has a factor raised to a power greater than the index.

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the following conditions in checking if a radical is in simplest form: 1. The radicand has no factor raised to a power greater than or equal to the index. 2. The radicand has no fractions. 3. No denominator contains a radical. 4. Exponents in the radicand and the index of radical have greatest common factor 1. $\bf{\text{Solution Details:}}$ The given radical expression, $ \sqrt[3]{x^5y^6} ,$ is not simplified because the radicand has a factor raised to a power greater than the index.
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