Elementary Algebra

Published by Cengage Learning

Chapter 9 - Roots and Radicals - Chapter 9 Review Problem Set - Page 430: 28

Answer

$5\sqrt[3]{a^2b}$

Work Step by Step

Using the properties of radicals, the given expression, $\sqrt[3]{125a^2b} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{125\cdot a^2b} \\\\= \sqrt[3]{(5)^3\cdot a^2b} \\\\= 5\sqrt[3]{a^2b} .\end{array} Note that all variables are assumed to have positive values.

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