Simplify: $\frac{7 \sqrt{3}}{\sqrt{10}+\sqrt{3}}-\frac{2 \sqrt{5}}{\sqrt{6}+\sqrt{5}}-\frac{3 \sqrt{2}}{\sqrt{15}+3 \sqrt{2}}$

Rationalise the denominator in each of the following

$\frac{4}{\sqrt{10}+\sqrt{6}}$

Decimal representation of a rational number cannot be

Find the value

$64^{-\frac{1}{3}}\left(64^{\frac{1}{3}}-64^{\frac{2}{3}}\right)$

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

$\sqrt{2}$ and $\sqrt{3}$

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

$0.15$ and $0.16$