Rationalising the denominator by Boxed Rockets

Rationalise the Denominator

\frac{3}{5 + \sqrt{6}}

\frac{15 - 3 \sqrt{6}}{19}

\frac{\sqrt{7}}{7 - \sqrt{7}}

\frac{\sqrt{7} + 1}{6}

\frac{1 + \sqrt{3}}{10 - \sqrt{3}}

\frac{13 + 11 \sqrt{3}}{97}

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

\frac{93 - 19 \sqrt{3}}{97}