Which type of number is the number $\frac{22}{7}$? Is it rational or irrational?

Rationalise the denominator of the following number:
$\frac{1}{5+2 \sqrt{3}}$

Represent $\sqrt{5.6}$ on the number line.

If $a = 5 + 2\sqrt{6}$ and $b = \frac{1}{a}$,then what will be the value of $a^2 + b^2$?

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.888 \ldots$

For each question,select the proper option from four options given,to make the statement true: $\sqrt{5} \times \sqrt{5}$ is a / an $\ldots \ldots \ldots$ number.