For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})=\ldots \ldots \ldots$
Simplify:
$(\frac{3}{5})^4 + (\frac{8}{5})^{-12} + (\frac{32}{5})^{6}$
Rationalise the denominator of the following:
$\frac{\sqrt{6}}{\sqrt{2}+\sqrt{3}}$
Rationalise the denominator in each of the following
$\frac{1}{7-4 \sqrt{3}}$
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
The rationalising factor of $4-\sqrt{5}$ is...........