Evaluate
16\sqrt{6}+70\approx 109.191835885
Expand
16 \sqrt{6} + 70 = 109.191835885
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64+16\sqrt{6}+\left(\sqrt{6}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(8+\sqrt{6}\right)^{2}.
64+16\sqrt{6}+6
The square of \sqrt{6} is 6.
70+16\sqrt{6}
Add 64 and 6 to get 70.
64+16\sqrt{6}+\left(\sqrt{6}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(8+\sqrt{6}\right)^{2}.
64+16\sqrt{6}+6
The square of \sqrt{6} is 6.
70+16\sqrt{6}
Add 64 and 6 to get 70.
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