Simplify the following expression: $(\sqrt{11}-\sqrt{3})^{2}$

The number obtained on rationalizing the denominator of $\frac{1}{7-\sqrt{2}}$ is

Simplify the following expressions :
$(i)$ $(5+\sqrt{7})(2+\sqrt{5})$
$(ii)$ $(5+\sqrt{5})(5-\sqrt{5})$
$(iii)$ $(\sqrt{3}+\sqrt{7})^{2}$
$(iv)$ $(\sqrt{11}-\sqrt{7})(\sqrt{11}+\sqrt{7})$

Rationalize the denominator of the following expression: $\frac{n^{2}}{\sqrt{m^{2}+n^{2}}+m}$

For each question,select the proper option from the four options given to make the statement true: $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3}) = \ldots \ldots \ldots$

Find five rational numbers between $-\frac{2}{3}$ and $\frac{1}{5}$.