Question

The rationalisation factor of $\frac{1}{2\sqrt{3}-\sqrt{5}}$ is
(a) $\sqrt{5}-2\sqrt{3}$
(b) $\sqrt{3}+2\sqrt{5}$
(c) $\left(\sqrt{3}+\sqrt{5}\right)$
(d) $\sqrt{12}+\sqrt{5}$

Answer 1

Rationalisation factor of $\frac{1}{2\sqrt{3}-\sqrt{5}}$ will be $2\sqrt{3}+\sqrt{5}=\sqrt{4\times 3}+\sqrt{5}=\sqrt{12}+\sqrt{5}$.
Hence, the correct answer is option (d).