Answer
$\sqrt{5}$
Work Step by Step
Using $\sqrt{\dfrac{x}{y}}=\dfrac{\sqrt{x}}{\sqrt{y}}$ or the quotient rule of radicals, the given expression, $
\dfrac{\sqrt{75}}{\sqrt{15}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{\dfrac{75}{15}}
\\\\=
\sqrt{5}
.\end{array}
Note that variables are assumed to have positive real numbers.
