Rationalising the denominator by Boxed Rockets

Rationalise the Denominator

\frac{4}{5 + \sqrt{2}}

\frac{20 - 4 \sqrt{2}}{23}

\frac{\sqrt{2}}{2 + \sqrt{2}}

\sqrt{2} - 1

\frac{2 - \sqrt{10}}{3 - \sqrt{10}}

- -4 - -1 \sqrt{10}

\frac{3 - \sqrt{5}}{1 + \sqrt{5}}

- 2 + -1 \sqrt{5}