Represent $\sqrt{10}$ on the number line.

Simplify the following expressions

$(\sqrt{15}+\sqrt{7})(\sqrt{15}-\sqrt{7})$

Find the value

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

State whether each of the following statements is true or false

$(-5)^{2}=-25$

Simplify the following:

$4 \sqrt{28} \div 3 \sqrt{7}$

If $a=\frac{3+\sqrt{5}}{2},$ then find the value of $a^{2}+\frac{1}{a^{2}}$.