Rationalising the denominator by Boxed Rockets

Rationalise the Denominator

\frac{2}{3 - \sqrt{7}}

3 + \sqrt{7}

\frac{\sqrt{2}}{1 + \sqrt{2}}

- \sqrt{2} + 2

\frac{6 + \sqrt{2}}{10 - \sqrt{2}}

\frac{31 + 8 \sqrt{2}}{49}

\frac{7 - \sqrt{5}}{6 - \sqrt{5}}

\frac{37 + \sqrt{5}}{31}