Answer
$\color{blue}{2mn^2}$
Work Step by Step
Factor the radicand so that at least one factor is a perfect fifth power:
$=\sqrt[5]{2^5m^5(n^2)^5}$
Bring out the fifth root of the perfect fifth power factors to obtain:
$=\color{blue}{2mn^2}$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 8 - Radical Functions - 8.2 Simplifying, Adding, and Subtracting Radicals - 8.2 Exercises - Page 633: 39
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