Question

Rationalise the denominator of the following:

$\left(v\right)\frac{\sqrt{3}+1}{\sqrt{2}}$

Answer 1

Given: $\frac{\sqrt{3}+1}{\sqrt{2}}$
Multiplying both numerator and denominator by $\sqrt{2}$ to rationalise the denominator.
$=\frac{(\sqrt{3}+1)\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}$
$=\frac{\sqrt{3}\times \sqrt{2}+\sqrt{2}}{2}$
$=\frac{\sqrt{6}+\sqrt{2}}{2}$