Intermediate Algebra (12th Edition)

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

Chapter 7 - Section 7.1 - Radical Expressions and Graphs - 7.1 Exercises - Page 440: 64



Work Step by Step

As shown on page 437, $\sqrt[n] a^{n}=|a|$ when $n$ is an even positive integer. In this case, we know that $\sqrt (x^{2})$ is equivalent to $\sqrt[2] (x^{2})$, since we are taking the square root. Therefore, we know that $\sqrt (x^{2})=\sqrt[2] (x^{2})=|x|$. As a result, $-\sqrt (x^{2})=-|x|$.
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