2024 IGCSE Additional Mathematics October/November 0606/22 Q6

5 marks

DO NOT USE A CALCULATOR IN THIS QUESTION.

Write \((5-\sqrt3)(\sqrt6+\sqrt2)^{-2}\) in the form \(a+b\sqrt3\), where \(a\) and \(b\) are constants.[5]

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Answer:\(\dfrac{13}4-\dfrac74\sqrt3\).

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