## Algebra: A Combined Approach (4th Edition)

$\sqrt{\dfrac{5}{3}}=\dfrac{5}{\sqrt{15}}$
$\sqrt{\dfrac{5}{3}}$ 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: $...=\dfrac{\sqrt{5}}{\sqrt{3}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}}=\dfrac{\sqrt{5^{2}}}{\sqrt{15}}=\dfrac{5}{\sqrt{15}}$