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