Evaluate
3
Factor
3
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\left(2\sqrt{3}-\sqrt{3}\right)^{2}
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}.
\left(\sqrt{3}\right)^{2}
Combine 2\sqrt{3} and -\sqrt{3} to get \sqrt{3}.
3
The square of \sqrt{3} is 3.
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