Answer
$\dfrac{3}{\sqrt{6}}$
Work Step by Step
Rationalizing the numerator of $
\sqrt{\dfrac{3}{2}}
$ results to
\begin{array}{l}
\sqrt{\dfrac{3}{2}}
\cdot
\sqrt{\dfrac{3}{3}}
\\\\=
\sqrt{\dfrac{9}{6}}
\\\\=
\dfrac{3}{\sqrt{6}}
.\end{array}