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: 45

Answer

$5x$

Work Step by Step

Using the properties of radicals, the given expression, $ \sqrt[3]{25x^2}\sqrt[3]{5x} ,$ simplifies to \begin{array}{l} \sqrt[3]{25x^2(5x)} \\\\= \sqrt[3]{125x^3} \\\\= \sqrt[3]{(5x)^3} \\\\= 5x .\end{array}
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