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 - Page 531: 39



Work Step by Step

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