Answer
$\frac{\sqrt{15}}{5}$
Work Step by Step
$\sqrt{\frac{3}{5}}$
Use the quotient rule for square roots.
$\frac{\sqrt3}{\sqrt{5}}$
Rationalize the denominator,
$\frac{\sqrt3}{\sqrt{5}}\times\frac{\sqrt{5}}{\sqrt{5}}$
Simplify.
$\frac{\sqrt3\times\sqrt{5}}{5}$
Use the product rule for square roots.
$\frac{\sqrt{15}}{5}$