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Basic of Logarithms
medium
${{\sqrt {6 + 2\sqrt 3 + 2\sqrt 2 + 2\sqrt 6 } - 1} \over {\sqrt {5 + 2\sqrt 6 } }}$
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
