Answer
$\sqrt[6] 500$
Work Step by Step
$\sqrt 5\times\sqrt[3] 2=5^{\frac{1}{2}}\times2^{\frac{1}{3}}=5^{\frac{3}{6}}\times2^{\frac{2}{6}}=\sqrt[6] (5^{3}2^{2})=\sqrt[6] (125\times4)=\sqrt[6] 500$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Sections 7.1-7.5 - Integrated Review - Radicals and Rational Exponents - Page 447: 20
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