Rationalising the denominator by Boxed Rockets

Rationalise the Denominator

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

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

\frac{2}{3 \sqrt{10}}

\frac{\sqrt{10}}{15}

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

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

\frac{5 - 9 \sqrt{7}}{\sqrt{7}}

\frac{5 \sqrt{7} - 63}{7}