Answer
$\dfrac{5\sqrt{2x}}{2x}$
Work Step by Step
Using the properties of radicals, the given expression, $
\dfrac{5}{\sqrt{2x}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{5}{\sqrt{2x}}\cdot\dfrac{\sqrt{2x}}{\sqrt{2x}}
\\\\=
\dfrac{5\sqrt{2x}}{2x}
.\end{array}
Note that all variables are assumed to represent positive real numbers.