Answer
$\dfrac{2\sqrt{3}}{x}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt{\dfrac{12}{x^2}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{\dfrac{4}{x^2}\cdot3}
\\\\=
\sqrt{\left(\dfrac{2}{x}\right)^2\cdot3}
\\\\=
\dfrac{2}{x}\sqrt{3}
\\\\=
\dfrac{2\sqrt{3}}{x}
.\end{array}
Note that all variables are assumed to represent positive real numbers.
