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

$\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots .$ number.

Rationalise the denominator of the following:

$\frac{2}{3 \sqrt{3}}$

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

If $(\sqrt{5}+3)^{2}=a+b \sqrt{5},$ then........

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :

$0.00323232 \ldots$

Insert a rational number and an irrational number between the following:

$6.375289$ and $6.375738$

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

$0 . \overline{3}=\ldots \ldots . .$