Answer
$2\sqrt{3}$
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{60}}{\sqrt{5}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{\dfrac{60}{5}}
\\\\=
\sqrt{12}
\\\\=
\sqrt{4\cdot3}
\\\\=
\sqrt{(2)^2\cdot3}
\\\\=
2\sqrt{3}
.\end{array}
Note that variables are assumed to have positive real numbers.
