Rationalising the denominator by Boxed Rockets

Rationalise the Denominator

\frac{4}{6 + \sqrt{7}}

\frac{24 - 4 \sqrt{7}}{29}

\frac{\sqrt{7}}{10 + \sqrt{7}}

\frac{10 \sqrt{7} - 7}{93}

\frac{7 - \sqrt{3}}{1 + \sqrt{3}}

- 5 + -4 \sqrt{3}

\frac{10 - \sqrt{7}}{4 - \sqrt{7}}

\frac{11 + 2 \sqrt{7}}{3}