Rationalise the Denominator

1)

\frac{1}{\sqrt{7}}

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

2)

\frac{9}{\sqrt{3}}

3 \sqrt{3}

3)

\frac{6}{\sqrt{3}}

2 \sqrt{3}

4)

\frac{10}{3 \sqrt{5}}

\frac{2 \sqrt{5}}{3}

5)

\frac{4 + 3 \sqrt{2}}{\sqrt{2}}

3 + 2 \sqrt{2}

6)

\frac{6 \sqrt{5} - 2 \sqrt{20}}{2 \sqrt{5}}

1

7)

\frac{3 \sqrt{7} + 5 \sqrt{2}}{4 \sqrt{3}}

\frac{3 \sqrt{21} + 5 \sqrt{6}}{12}

8)

\frac{2 \sqrt{12} - 8 \sqrt{11}}{6 \sqrt{11}}

\frac{- 44 + 2 \sqrt{33}}{33}