{{√ {6 + 2√ 3 + 2√ 2 + 2√ 6 } - 1} over {√ {5 + 2√ 6 } }}

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${{\sqrt {6 + 2\sqrt 3 + 2\sqrt 2 + 2\sqrt 6 } - 1} \over {\sqrt {5 + 2\sqrt 6 } }}$

A

$1$

B

$-1$

C

$0$

D

None of these

Solution

(a) ${{\sqrt {6 + 2\sqrt 3 + 2\sqrt 2 + 2\sqrt 6 } – 1} \over {\sqrt {5 + 2\sqrt 6 } }}$

= ${{(1 + \sqrt 2 + \sqrt 3 ) – 1} \over {(\sqrt 3 + \sqrt 2 )}}$= ${{\sqrt 3 + \sqrt 2 } \over {\sqrt 3 + \sqrt 2 }} = 1$.

Standard 11

Mathematics

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