Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.1 - Radical Expressions and Functions - Exercise Set: 41

Answer

$-10|x^3|$

Work Step by Step

RECALL: (i) $\sqrt{a^2} = a$ when $a\ge0$ (ii) $\sqrt{a^2} = |a|$ when $a\lt0$ Use the rules above to obtain: $-\sqrt{100x^6}=-\sqrt{(10x^3)^2}=-10|x^3|$ (The absolute value has to be applied to $x^3$ to make its value always nonnegative).
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.