#### Answer

$\dfrac{\sqrt[3]{10}}{2}$

#### Work Step by Step

Rationalizing the denominator of the given expression, $
\sqrt[3]{\dfrac{5}{4}}
,$ results to
\begin{array}{l}\require{cancel}
\sqrt[3]{\dfrac{5}{4}\cdot\dfrac{2}{2}}
\\\\=
\sqrt[3]{\dfrac{10}{8}}
\\\\=
\dfrac{\sqrt[3]{10}}{\sqrt[3]{8}}
\\\\=
\dfrac{\sqrt[3]{10}}{\sqrt[3]{(2)^3}}
\\\\=
\dfrac{\sqrt[3]{10}}{2}
.\end{array}