Evaluate
40-16\sqrt{6}\approx 0.808164115
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40-16\sqrt{6}
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16-16\sqrt{6}+4\left(\sqrt{6}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4-2\sqrt{6}\right)^{2}.
16-16\sqrt{6}+4\times 6
The square of \sqrt{6} is 6.
16-16\sqrt{6}+24
Multiply 4 and 6 to get 24.
40-16\sqrt{6}
Add 16 and 24 to get 40.
16-16\sqrt{6}+4\left(\sqrt{6}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4-2\sqrt{6}\right)^{2}.
16-16\sqrt{6}+4\times 6
The square of \sqrt{6} is 6.
16-16\sqrt{6}+24
Multiply 4 and 6 to get 24.
40-16\sqrt{6}
Add 16 and 24 to get 40.
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