Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set: 65

Answer

$a\sqrt[3]{10}$

Work Step by Step

Using the properties of radicals, the given expression, $ \sqrt[3]{5a^2}\sqrt[3]{2a} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{5a^2(2a)} \\\\= \sqrt[3]{10a^3} \\\\= \sqrt[3]{a^3\cdot10} \\\\= \sqrt[3]{(a)^3\cdot10} \\\\= a\sqrt[3]{10} \end{array}
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