Show that $0.142857142857 \ldots=\frac{1}{7}$
Find the values of each of the following correct to three places of decimals, rationalising the denominator if needed and taking $\sqrt{2}=1.414$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236$
$\frac{\sqrt{2}}{2+\sqrt{2}}$
Rationalise the denominator of the following:
$\frac{2}{3 \sqrt{3}}$
Add $4 \sqrt{6}-8 \sqrt{10}$ and $3 \sqrt{6}+12 \sqrt{10}$
Find the value
$\left(\frac{1}{27}\right)^{-\frac{2}{3}}$