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}
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
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 - Page 418: 45
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