Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.4 - Products and Quotients Involving Radicals - Problem Set 9.4: 46

Answer

$3\sqrt[3]{x^2}$

Work Step by Step

Using the properties of radicals, the given expression, $ \sqrt[3]{9x}\sqrt[3]{3x} ,$ simplifies to \begin{array}{l} \sqrt[3]{9x(3x)} \\\\= \sqrt[3]{27x^2} \\\\= \sqrt[3]{27\cdot x^2} \\\\= \sqrt[3]{(3)^3\cdot x^2} \\\\= 3\sqrt[3]{x^2} .\end{array}
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