Insert a rational number and an irrational number between the following:
$2$ and $3$
Divide $12 \sqrt{30}$ by $3 \sqrt{5}$.
Rationalise the denominator in each of the following
$\frac{5-2 \sqrt{6}}{5+2 \sqrt{6}}$
Show that $0 . \overline{076923}=\frac{1}{13}$
Rationalise the denominator in each of the following
$\frac{1}{7-4 \sqrt{3}}$