Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2: 58

Answer

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

Work Step by Step

Using the properties of radicals, the given expression, $ 2\sqrt[3]{24}-4\sqrt[3]{81} ,$ simplifies to \begin{array}{l}\require{cancel} 2\sqrt[3]{8\cdot3}-4\sqrt[3]{27\cdot3} \\\\= 2\sqrt[3]{(2)^3\cdot3}-4\sqrt[3]{(3)^3\cdot3} \\\\= 2\cdot2\sqrt[3]{3}-4\cdot3\sqrt[3]{3} \\\\= 4\sqrt[3]{3}-12\sqrt[3]{3} \\\\= -8\sqrt[3]{3} .\end{array}
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