Answer
$4$
Work Step by Step
Using the properties of radicals, the given expression, $
\dfrac{\sqrt{96}}{\sqrt{6}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{\dfrac{96}{6}}
\\\\=
\sqrt{16}
\\\\=
\sqrt{(4)^2}
\\\\=
4
.\end{array}