Simplify \((\sqrt{6} + 2)^2 – (\sqrt{6} – 2)^2\)
- \(2\sqrt{6}\)
- \(4\sqrt{6}\)
-
\(8\sqrt{6}\)
- \(16\sqrt{6}\)
The correct answer is: C
Explanation
\((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)= \([(\sqrt{6} + 2) + (\sqrt{6} - 2)][(\sqrt{6} + 2) - (\sqrt{6} - 2)]\)
= \((\sqrt{6} + 2 + \sqrt{6} - 2)(\sqrt{6} + 2 - \sqrt{6} + 2)]\)
= \((2\sqrt{6})(4)\)
= \(8\sqrt{6}\)
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