Question

Rationalise the denominator and simplify $\sqrt{\frac{3}{5}}$

Answer 1

$\sqrt{\frac{3}{5}}=\frac{\sqrt{3}}{\sqrt{5}}$ R.F of $\sqrt{5}$ is $\sqrt{5}$
$\therefore \sqrt{\frac{3}{5}}=\frac{\sqrt{3}}{\sqrt{5}}\times \frac{\sqrt{5}}{\sqrt{5}}=\sqrt{\frac{3\times 5}{5\times 5}}=\frac{\sqrt{15}}{5}\therefore \sqrt{\frac{3}{5}}=\frac{\sqrt{15}}{5}$