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: 64

Answer

$-|x|$

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, $-\sqrt (x^{2})=-|x|$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.