Rationalising the denominator by Boxed Rockets

Rationalise the Denominator

\frac{2}{9 + \sqrt{7}}

\frac{9 - \sqrt{7}}{37}

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

2 \sqrt{3} + 3

\frac{1 - \sqrt{7}}{5 - \sqrt{7}}

\frac{-1 - 2 \sqrt{7}}{9}

\frac{3 - \sqrt{10}}{9 + \sqrt{10}}

\frac{37 - 12 \sqrt{10}}{71}