Question

Rationalise the denominator of the following:

$\left(vii\right)\frac{3\sqrt{2}}{\sqrt{5}}$

Answer 1

Given: $\frac{3\sqrt{2}}{\sqrt{5}}$
Multiplying both numerator and denominator by $\sqrt{5}$ to rationalise the denominator.
$=\frac{3\sqrt{2}\times \sqrt{5}}{\sqrt{5}\times \sqrt{5}}$
$=\frac{3\times \sqrt{10}}{5}$
$=\frac{3\sqrt{10}}{5}$