Which type of number is the number $\pi$ - rational or irrational?

If $\frac{2 \sqrt{6}-\sqrt{5}}{3 \sqrt{5}-2 \sqrt{6}}=a+b \sqrt{30}$,find the value of $a$ and $b$.

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.

Fill in the blanks to make the following statement true:
$\sqrt{1 \frac{25}{144}} = \ldots$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three decimal places.
$\frac{\sqrt{10}-\sqrt{5}}{2}$

After rationalizing the denominator of $\frac{7}{3 \sqrt{3}-2 \sqrt{2}},$ we get the denominator as