Answer
$\sqrt{\dfrac{5}{3}}=\dfrac{5}{\sqrt{15}}$
Work Step by Step
$\sqrt{\dfrac{5}{3}}$
Rewrite this expression as $\dfrac{\sqrt{5}}{\sqrt{3}}$:
$\sqrt{\dfrac{5}{3}}=\dfrac{\sqrt{5}}{\sqrt{3}}=...$
Multiply this expression by $\dfrac{\sqrt{5}}{\sqrt{5}}$ and simplify if possible:
$...=\dfrac{\sqrt{5}}{\sqrt{3}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}}=\dfrac{\sqrt{5^{2}}}{\sqrt{15}}=\dfrac{5}{\sqrt{15}}$