${{\sqrt {6 + 2\sqrt 3 + 2\sqrt 2 + 2\sqrt 6 } - 1} \over {\sqrt {5 + 2\sqrt 6 } }}$
Medium
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a
(a) \({{\sqrt {6 + 2\sqrt 3 + 2\sqrt 2 + 2\sqrt 6 } - 1} \over {\sqrt {5 + 2\sqrt 6 } }}\)
(a) \({{\sqrt {6 + 2\sqrt 3 + 2\sqrt 2 + 2\sqrt 6 } - 1} \over {\sqrt {5 + 2\sqrt 6 } }}\)
= \({{(1 + \sqrt 2 + \sqrt 3 ) - 1} \over {(\sqrt 3 + \sqrt 2 )}}\)= \({{\sqrt 3 + \sqrt 2 } \over {\sqrt 3 + \sqrt 2 }} = 1\).
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