Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0 . \overline{001}$

Find three different irrational numbers between the rational numbers $\frac{3}{4}$ and $\frac{4}{5}$.

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.
$\frac{1}{\sqrt{3}+\sqrt{2}}$

Which of the following is equal to $x$?

For each question,select the proper option from four options given,to make the statement true: $(5^{\frac{3}{4}})^{\frac{4}{3}} = \dots$

Insert a rational number and an irrational number between the following:
$0$ and $0.1$