Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set: 24

Answer

$-8\sqrt[3]{4}$

Work Step by Step

Using the properties of radicals, the given expression, $ -2\sqrt[3]{108}-\sqrt[3]{32} ,$ simplifies to \begin{array}{l}\require{cancel} -2\sqrt[3]{27\cdot4}-\sqrt[3]{8\cdot4} \\\\= -2\sqrt[3]{(3)^3\cdot4}-\sqrt[3]{(2)^3\cdot4} \\\\= -2\cdot3\sqrt[3]{4}-2\sqrt[3]{4} \\\\= -6\sqrt[3]{4}-2\sqrt[3]{4} \\\\= -8\sqrt[3]{4} .\end{array}
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