Simplify the following:

$(\sqrt{3}-\sqrt{2})^{2}$

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)

$.............$ is a rational number between $7$ and $8 .$

Rationalise the denominator in each of the following

$\frac{4}{\sqrt{10}+\sqrt{6}}$

Represent $3 . \overline{42}$ on the number line, using successive magnification, up to $4$ decimal places.

The product $\sqrt[3]{2} \cdot \sqrt[4]{2} \cdot \sqrt[12]{32}$ equals