3.90: Simplify (53)(6+2)2(5 - \sqrt{3})(\sqrt{6} + \sqrt{2})^{-2} to a+b3a + b\sqrt{3}

0606/22/O/N/24 — Question 6 · 5 marks

Do not use a calculator in this question.

Write (53)(6+2)2(5 - \sqrt{3})(\sqrt{6} + \sqrt{2})^{-2} in the form a+b3a + b\sqrt{3}, where aa and bb are constants.
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