Is $\sqrt{8^{2}+15^{2}}$ a rational number or an irrational number ?

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

$(\sqrt{5}+3)^{2}$ is a $/$ an $\ldots \ldots \ldots$ number.

Simplify:

${{(625)^{-\frac{1}{2}}}^{-\frac{1}{4}}}^{2}$

Add $: 0 . \overline{35}+0 . \overline{28}$

Find the value

$\left(\frac{125}{64}\right)^{-\frac{2}{3}}$

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

$\frac{1}{3}$ and $\frac{1}{2}$