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-1
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2\sqrt{3}\cos(30)-4
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
2\sqrt{3}\times \frac{\sqrt{3}}{2}-4
Get the value of \cos(30) from trigonometric values table.
\sqrt{3}\sqrt{3}-4
Cancel out 2 and 2.
3-4
Multiply \sqrt{3} and \sqrt{3} to get 3.
-1
Subtract 4 from 3 to get -1.
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