Evaluate
4\sqrt{6}+10\approx 19.797958971
Expand
4 \sqrt{6} + 10 = 19.797958971
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4+4\sqrt{6}+\left(\sqrt{6}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2+\sqrt{6}\right)^{2}.
4+4\sqrt{6}+6
The square of \sqrt{6} is 6.
10+4\sqrt{6}
Add 4 and 6 to get 10.
4+4\sqrt{6}+\left(\sqrt{6}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2+\sqrt{6}\right)^{2}.
4+4\sqrt{6}+6
The square of \sqrt{6} is 6.
10+4\sqrt{6}
Add 4 and 6 to get 10.
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