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

$\frac{71}{125}$

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

$2$ and $3$

Find the value

$\frac{8 \frac{1}{3} \times 16 \frac{1}{3}}{32^{-\frac{1}{3}}}$

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

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

$\sqrt{1 \frac{25}{144}}=\ldots \ldots$

Rationalise the denominator of the following:

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