Answer
$\dfrac{5}{2}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[3]{\dfrac{125}{8}}
,$ evaluates to
\begin{array}{l}\require{cancel}
\sqrt[3]{\left( \dfrac{5}{2} \right)^3}
\\\\=
\dfrac{5}{2}
.\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 - 9.1 - Roots and Radicals - Problem Set 9.1 - Page 401: 22
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