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#### CaptainBlack

##### Well-known member

- Jan 26, 2012

- 890

**(a) (i)**Express \(\sqrt{48}\) in the form \(k\sqrt{3}\), where \(k\) is an integer. (1 mark)

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**(ii)**Simplify \(\displaystyle \frac{\sqrt{48}+2\sqrt{27}}{\sqrt{12}}\) giving your answer as an integer. (3 marks)

**(b)**Express \(\displaystyle \frac{1-5\sqrt{5}}{3+\sqrt{5}}\) in the form \(m+n\sqrt{5}\), where m and n are integers. (4 marks)

CB