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 - Page 512: 42

Answer

$-7|x^3|$

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: $-\sqrt{49x^6}=-\sqrt{(7x^3)^2}=-7|x^3|$ (The absolute value has to be applied to $x^3$ to make its value always nonnegative).
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