Rationalise the denominator of the following:
$\frac{3+\sqrt{2}}{4 \sqrt{2}}$
Rationalise the denominator of the following: $\frac{\sqrt{40}}{\sqrt{3}}$
Construct the square root spiral up to $\sqrt{6}$.
State the type of the decimal expansion of $\frac{1}{7}$
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 $\sqrt{5}=2.236$
$\frac{\sqrt{2}}{2+\sqrt{2}}$