#### Answer

$\dfrac{3\sqrt{35}}{14}$

#### Work Step by Step

Rationalizing the denominator of the given expression, $
\dfrac{3\sqrt{5}}{2\sqrt{7}}
,$ we find:
\begin{array}{l}\require{cancel}
\dfrac{3\sqrt{5}}{2\sqrt{7}}\cdot\dfrac{\sqrt{7}}{\sqrt{7}}
\\\\=
\dfrac{3\sqrt{35}}{2\sqrt{(7)^2}}
\\\\=
\dfrac{3\sqrt{35}}{2\cdot7}
\\\\=
\dfrac{3\sqrt{35}}{14}
.\end{array}