Answer
$15\sqrt[3]{3}$
Work Step by Step
Using the properties of radicals that we know, we simplify:
$\displaystyle (\sqrt{5}\sqrt[3]{9})^2=5\sqrt[3]{9^2}=5\sqrt[3]{81}=5\sqrt[3]{27*3}=5\sqrt[3]{3^3*3}=5*3\sqrt[3]{3}=15\sqrt[3]{3}$
College Algebra (10th Edition)
by Sullivan, Michael
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 - Page 78: 29
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