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: 40

Answer

$15\sqrt[3]{3}$

Work Step by Step

Using the properties of radicals that we know, we simplify: $\displaystyle 9\sqrt[3]{24}-\sqrt[3]{81}=9\sqrt[3]{8*3}-\sqrt[3]{27*3}=9\sqrt[3]{2^3*3}-\sqrt[3]{3^3*3}=9*2\sqrt[3]{3}-3\sqrt[3]{3}=18\sqrt[3]{3}-3\sqrt[3]{3}=15\sqrt[3]{3}$
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