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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) | \( \frac {(1 + \sqrt{5})(1 - \sqrt{5})}{1+\sqrt{2}} \) |