Question

Rationalise the denominator of the following:

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

Answer 1

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