Rationalise the denominator of the following: $\frac{\sqrt{40}}{\sqrt{3}}$

Find the value of $a$ in the following:
$\frac{6}{3 \sqrt{2}-2 \sqrt{3}}=3 \sqrt{2}-a \sqrt{3}$

Find the value of the following expression correct to three decimal places,rationalizing the denominator if needed. Take $\sqrt{2} = 1.414$,$\sqrt{3} = 1.732$,and $\sqrt{5} = 2.236$.
$\frac{\sqrt{2}}{2+\sqrt{2}}$

For each question,select the proper option from four options given,to make the statement true: The rationalising factor of $4-\sqrt{5}$ is...........

Simplify the following expression: $(\sqrt{11}-\sqrt{3})^{2}$

State whether the following statement is true or false:
Every whole number is a rational number.