Rationalise$\frac{\sqrt{6}-\sqrt{4}}{\sqrt{6}+\sqrt{4}}$

Simplify $(\sqrt{3}-\sqrt{2})(2\sqrt{3}+\sqrt{2})$

Simplify $\frac{2\sqrt{2}-\sqrt{3}}{\sqrt{2}+\sqrt{3}}$

$\begin{align}  & \text{Simplify }\frac{\sqrt{5}(\sqrt{147}-\sqrt{12})}{\sqrt{15}} \\ & \text{(A) 5  (B) }\tfrac{1}{5}\text{  (C) }\tfrac{1}{9}\text{  (D) }9 \\\end{align}$

Simplify ${{(\sqrt{6}+2)}^{2}}-{{(\sqrt{6}-2)}^{2}}$

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

Rationalize $\frac{2-\sqrt{5}}{3-\sqrt{5}}$

Rationalize $\frac{2\sqrt{3}+\sqrt{5}}{\sqrt{5}-\sqrt{3}}$

Simplify $\frac{5+\sqrt{7}}{3+\sqrt{7}}$