CAPE Pure Mathematics Unit 1 · 2008 (Rest of Region) · Paper 1 · Question Q10

Rationalising \frac{\sqrt{2} - 1}{\sqrt{2} + 1} gives

1. (A)1 - 2\sqrt{2}
2. (B)1 + \frac{2}{3}\sqrt{2}
3. (C)3 + 2\sqrt{2}
4. (D)3 - 2\sqrt{2}