Rationalise the denominator in each of the following

$\frac{1}{\sqrt{5}-\sqrt{3}}$

State whether each of the following statements is true or false

$\sqrt{49}$ is an irrational number.

Express $0.7 \overline{39}$ in the form $\frac{P}{q} ;$ where $p$ and $q$ are integers and $q \neq 0$

For each question, select the proper option from four options given, to make the statement true : (Final answer only)

$\left(5^{\frac{3}{4}}\right)^{\frac{4}{3}}=\ldots \ldots \ldots$

Write the number in short : $3.8232323 \ldots$

Simplify the following:

$\sqrt[4]{81}-8 \sqrt[3]{216}+15 \sqrt[5]{32}+\sqrt{225}$