#### Answer

$\sqrt{\dfrac{3}{2}}=\dfrac{3}{\sqrt{6}}$

#### Work Step by Step

$\sqrt{\dfrac{3}{2}}$
Rewrite this expression as $\dfrac{\sqrt{3}}{\sqrt{2}}$:
$\sqrt{\dfrac{3}{2}}=\dfrac{\sqrt{3}}{\sqrt{2}}=...$
Multiply this expression by $\dfrac{\sqrt{3}}{\sqrt{3}}$ and simplify if possible:
$...=\dfrac{\sqrt{3}}{\sqrt{2}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{\sqrt{3^{2}}}{\sqrt{6}}=\dfrac{3}{\sqrt{6}}$