If $\sqrt{2}=1.4142,$ then evaluate $\sqrt{5} \div \sqrt{10}$ correct to four decimal places.

If $a=2+\sqrt{3},$ then find the value of $a-\frac{1}{a}$

Insert a rational number and an irrational number between the following:

$3.623623$ and $0.484848$

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

$\frac{37}{60}$

Find the value

$625^{\frac{3}{4}}$

Fill in the blanks so as to make each of the following statements true (Final answer only)

The decimal expansion of $\frac{2}{3}$ is of $\ldots \ldots .$ type.