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: 52

Answer

$(x+y)\sqrt[3]{x+y}$

Work Step by Step

RECALL: $\sqrt[3]{a^3}=a$ Factor the radicand (expression inside the radical sign) so that at least one factor is a perfect cube, and then use the rule above to simplify and obtain: $=\sqrt[3]{(x+y)^3\cdot (x+y)} \\=(x+y)\sqrt[3]{x+y}$
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