Simplify sqrt 6 2 2 - sqrt 6 - 2 2 - JAMB Mathematics 2012 Question
Simplify ((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2)
A
\(2\sqrt{6}\)
B
\(4\sqrt{6}\)
C
\(8\sqrt{6}\)
D
\(16\sqrt{6}\)
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Correct Option: C
((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2)
= ([(\sqrt{6} + 2) + (\sqrt{6} - 2)][(\sqrt{6} + 2) - (\sqrt{6} - 2)])
= ((\sqrt{6} + 2 + \sqrt{6} - 2)(\sqrt{6} + 2 - \sqrt{6} + 2)])
= ((2\sqrt{6})(4))
= (8\sqrt{6})
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