Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.3 - Simplifying Radical Expressions - Practice: 19

Answer

$15x^{2}\sqrt[3] {2}$

Work Step by Step

$\dfrac{5\sqrt[3] {162x^{8}}}{\sqrt[3] {3x^{2}}}=5 \sqrt[3] {\dfrac{162x^{8}}{3x^{2}}}=5 \sqrt[3] {54x^{6}}=5\sqrt[3] {27}\sqrt[3] {2}\sqrt[3] {x^{6}}=5*3x^{2}\sqrt[3] {2}=15x^{2}\sqrt[3] {2}$
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