Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set: 83

Answer

$\sqrt[3]2$

Work Step by Step

$3\sqrt[3]{54}-4\sqrt[3]{16}$ Factor out perfect cubes. $3\sqrt[3]{(27)(2)}-4\sqrt[3]{(8)(2)}$ Simplify. $3(3)\sqrt[3]{2}-4(2)\sqrt[3]{2}$ $9\sqrt[3]2-8\sqrt[3]2$ Add like radicals. $\sqrt[3]2$
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