Rationalise the denominator of the following:

$\frac{3+\sqrt{2}}{4 \sqrt{2}}$

Rationalise the denominator of the following:

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

Convert following rational numbers in decimal form and state the kind of its decimal expansion

$\frac{29}{12}$

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

The rationalising factor of $4-\sqrt{5}$ is...........

Write the following in decimal form and state what kind of decimal expansion each has

$\frac{121}{400}$

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

$0.5 \overline{7}$