Answer
$\dfrac{5}{2}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[3]{\dfrac{125}{8}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt[3]{125}}{\sqrt[3]{8}}
\\\\=
\dfrac{\sqrt[3]{(5)^3}}{\sqrt[3]{(2)^3}}
\\\\=
\dfrac{5}{2}
\end{array}