Answer
$\dfrac{\sqrt{3}}{2}$
Work Step by Step
Using $\sqrt{\dfrac{x}{y}}=\dfrac{\sqrt{x}}{\sqrt{y}}$ or the quotient rule of radicals, the given expression, $
\sqrt{\dfrac{3}{4}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt{3}}{\sqrt{4}}
\\\\=
\dfrac{\sqrt{3}}{\sqrt{(2)^2}}
\\\\=
\dfrac{\sqrt{3}}{2}
.\end{array}
Note that variables are assumed to have positive real numbers.
