Answer
$\sqrt{\dfrac{2}{5}}=\dfrac{2}{\sqrt{10}}$
Work Step by Step
$\sqrt{\dfrac{2}{5}}$
Rewrite this expression as $\dfrac{\sqrt{2}}{\sqrt{5}}$:
$\sqrt{\dfrac{2}{5}}=\dfrac{\sqrt{2}}{\sqrt{5}}=...$
Multiply this fraction by $\dfrac{\sqrt{2}}{\sqrt{2}}$ and simplify:
$...=\dfrac{\sqrt{2}}{\sqrt{5}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{2^{2}}}{\sqrt{10}}=\dfrac{2}{\sqrt{10}}$
