Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-1 Roots and Radical Expressions - Practice and Problem-Solving Exercises - Page 365: 48


sometimes true

Work Step by Step

The given statement is true only when $x\ge 0$. Example: $\sqrt[3]{2^3} = |2|=2$ $\sqrt[3]{0^3} = |0|=0.$ However, the statement is false when $x \lt 0$. Example: $\sqrt[3]{(-2)^3}=-2$, which is not equal to $|-2|=2$.
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