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\sqrt{3}\left(-2\sqrt{3}\right)
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}.
\sqrt{3}\left(-2\right)\sqrt{3}
Multiply -1 and 2 to get -2.
3\left(-2\right)
Multiply \sqrt{3} and \sqrt{3} to get 3.
-6
Multiply 3 and -2 to get -6.