Evaluate
21-12\sqrt{3}\approx 0.215390309
Expand
21-12\sqrt{3}
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9-12\sqrt{3}+4\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-2\sqrt{3}\right)^{2}.
9-12\sqrt{3}+4\times 3
The square of \sqrt{3} is 3.
9-12\sqrt{3}+12
Multiply 4 and 3 to get 12.
21-12\sqrt{3}
Add 9 and 12 to get 21.
9-12\sqrt{3}+4\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-2\sqrt{3}\right)^{2}.
9-12\sqrt{3}+4\times 3
The square of \sqrt{3} is 3.
9-12\sqrt{3}+12
Multiply 4 and 3 to get 12.
21-12\sqrt{3}
Add 9 and 12 to get 21.
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