Answer
$\dfrac{2\sqrt{x}}{x}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt{\dfrac{4}{x}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{\dfrac{4}{x}\cdot\dfrac{x}{x}}
\\\\=
\sqrt{\dfrac{4}{x^2}\cdot x}
\\\\=
\sqrt{\left( \dfrac{2}{x}\right)^2\cdot x}
\\\\=
\dfrac{2}{x}\sqrt{x}
\\\\=
\dfrac{2\sqrt{x}}{x}
.\end{array}
Note that all variables are assumed to have positive values.
