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 - Page 438: 8

Answer

$-7a\sqrt[3]{3a}$

Work Step by Step

Using the properties of radicals, then, \begin{array}{l} 2\sqrt[3]{3a^4}-3a\sqrt[3]{81a} \\= 2\sqrt[3]{a^3\cdot3a}-3a\sqrt[3]{27\cdot3a} \\= 2\cdot a\sqrt[3]{3a}-3a\cdot3\sqrt[3]{3a} \\= 2a\sqrt[3]{3a}-9a\sqrt[3]{3a} \\= -7a\sqrt[3]{3a} .\end{array}
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