Answer
$\dfrac{2}{\sqrt{6}}$
Work Step by Step
Rationalizing the numerator, the given expression, $
\sqrt{\dfrac{2}{3}}
,$ is equivalent to
\begin{array}{l}
\sqrt{\dfrac{2}{3}\cdot\dfrac{2}{2}}
\\\\=
\sqrt{\dfrac{(2)^2}{6}}
\\\\=
\dfrac{\sqrt{(2)^2}}{\sqrt{6}}
\\\\=
\dfrac{2}{\sqrt{6}}
.\end{array}