College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding: 29

Answer

$15\sqrt[3]{3}$

Work Step by Step

Using the properties of radicals that we know, we simplify: $\displaystyle (\sqrt{5}\sqrt[3]{9})^2=5\sqrt[3]{9^2}=5\sqrt[3]{81}=5\sqrt[3]{27*3}=5\sqrt[3]{3^3*3}=5*3\sqrt[3]{3}=15\sqrt[3]{3}$
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