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Answers
Question 1
| (a) | \( 4 \sqrt{2} \) | (b) | \( 4 \sqrt{3} \) | (c) | \( 10 \sqrt{3} \) |
| (d) | \( 5 \sqrt{3} \) | (e) | \( 3 \sqrt{2} \) | (f) | \( 6\sqrt{3} \) |
| (g) | \( 7 \sqrt{5} \) | (h) | \( 3 \sqrt{6} \) | (i) | \( 4 \sqrt{7} \) |
| (j) | \( 2 \sqrt{11} \) | (k) | \( 5 \sqrt{5} \) | (l) | \( 6 \sqrt{7} \) |
Question 2
| (a) | \( 4 \) | (b) | \( 3 - \sqrt{5} \) | (c) | \( 8\sqrt{5} \) |
| (d) | \( 9 \) | (e) | \( 4 \) | (f) | \( 6\sqrt{17} \) |
| (g) | \( 5\sqrt{5} \) | (h) | \( 13 + 7\sqrt{3} \) | (i) | \( 9\sqrt{3} \) |
| (j) | \( \frac{5}{6} \) | (k) | \( 12\sqrt{2} \) | (l) | \( 4 - 2\sqrt{7} \) |
Question 3
| (a) | \( \frac {3\sqrt{2}}{2} \) | (b) | \( 2\sqrt{3} \) | (c) | \( 5+5\sqrt{2} \) |
| (d) | \( \frac{4\sqrt{5}}{5} \) | (e) | \( 16-8\sqrt{3} \) | (f) | \( \frac{7\sqrt{3}}{2} \) |
| (g) | \( 2 \) | (h) | \( 2\sqrt{6}-3\sqrt{2} \) | (i) | \( 3-2\sqrt{2} \) |
| (j) | \( 2.5 \) | (k) | \( \frac{3(3 + \sqrt{5})}{2} \) | (l) | \( 4-4\sqrt{2} \) |