Answer
$2$
Work Step by Step
Using the properties of radicals, the given expression, $
\dfrac{4\sqrt{3}}{\sqrt{12}}
,$ simplifies to
\begin{array}{l}\require{cancel}
4\sqrt{\dfrac{3}{12}}
\\\\=
4\sqrt{\dfrac{\cancel{3}}{\cancel{3}(4)}}
\\\\=
4\sqrt{\dfrac{1}{4}}
\\\\=
4\sqrt{\left(\dfrac{1}{2}\right)^2}
\\\\=
4\left(\dfrac{1}{2}\right)
\\\\=
2
.\end{array}