Rationalising the denominator by Boxed Rockets

Rationalise the Denominator

\frac{6}{\sqrt{2}}

3 \sqrt{2}

\frac{10}{9 \sqrt{7}}

\frac{10 \sqrt{7}}{63}

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

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

\frac{4 - 3 \sqrt{7}}{\sqrt{7}}

\frac{4 \sqrt{7} - 21}{7}