Evaluate
12-5\sqrt{6}\approx -0.247448714
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\left(\sqrt{6}\right)^{2}-2\sqrt{6}-3\sqrt{6}+6
Apply the distributive property by multiplying each term of \sqrt{6}-3 by each term of \sqrt{6}-2.
6-2\sqrt{6}-3\sqrt{6}+6
The square of \sqrt{6} is 6.
6-5\sqrt{6}+6
Combine -2\sqrt{6} and -3\sqrt{6} to get -5\sqrt{6}.
12-5\sqrt{6}
Add 6 and 6 to get 12.
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