Question

Rationalise the denominator of $\frac{5}{\sqrt{3}-\sqrt{5}}$

Answer 1

$\frac{5}{\sqrt{3}-\sqrt{5}}$

$=\frac{5}{\sqrt{3}-\sqrt{5}}\times \frac{\sqrt{3}+\sqrt{5}}{\sqrt{3}+\sqrt{5}}$

$=\frac{5(\sqrt{3}+\sqrt{5})}{3-5}$

$=-\frac{5(\sqrt{3}+\sqrt{5})}{2}$