Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Review Exercises: 31

Answer

$\sqrt (m+3n)$

Work Step by Step

We are given that $a^{\frac{m}{n}}=\sqrt[n] a^{m}=(\sqrt[n] a)^{m}$, if all indicated roots are real numbers. Therefore, $(m+3n)^{\frac{1}{2}}=\sqrt[2] (m+3n)^{1}=\sqrt (m+3n)$.
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