Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Concept Quiz 9.2: 4

Answer

True

Work Step by Step

While square roots must be positive, a cube root has an odd index. Whenever the index is an odd number, the number being cubed no longer has to be positive. As a result, the cube root of $x^3$ will always equal x regardless of the value of x.
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