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 7.3 - Multiplying and Simplifying Radical Expressions - Exercise Set: 42

Answer

$|x^3y^3|\sqrt{y}$

Work Step by Step

Factor the radicand (expression inside the radical sign) so that at least one factor is a square to obtain: $=\sqrt{x^6y^6(y)} \\=\sqrt{(x^3y^3)^2(y)}$ The principal square root is always non-negative. Thus, to make sure that the principal square root of $(x^3y^3)^2$ is non-negative, use absolute value bars to obtain: $=|x^3y^3|\sqrt{y}$
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