Question 3

Rationalise the denominators of the following surd fractions:

(a) \( \frac {3}{\sqrt{2}} \) (b) \( \frac {6}{\sqrt{3}} \) (c) \( \frac {5}{\sqrt{2}-1} \)
(d) \( \frac {4}{\sqrt{5}} \) (e) \( \frac {8}{2+\sqrt{3}} \) (f) \( \frac {7 \sqrt{6}}{\sqrt{8}} \)
(g) \( \frac {\sqrt{12}}{\sqrt{3}} \) (h) \( \frac {\sqrt{6}}{\sqrt{3}+2} \) (i) \( \frac {1}{3+\sqrt{8}} \)
(j) \( \frac {\sqrt {75}}{\sqrt{12}} \) (k) \( \frac {6}{3-\sqrt{5}} \) (l) \( \frac {(1 + \sqrt{5})(1 - \sqrt{5})}{1+\sqrt{2}} \)