Simplify ((sqrt{6} + 2)^2 – (sqrt{6} – 2)^2)
-
A.
(2sqrt{6}) -
B.
(4sqrt{6}) -
C.
(8sqrt{6}) -
D.
(16sqrt{6})
Correct Answer: Option C
Explanation
((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)])
= ((2sqrt{6})(4))
= (8sqrt{6})
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