Evaluate
12\sqrt{46}+82\approx 163.387959798
Expand
12 \sqrt{46} + 82 = 163.387959798
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\left(\sqrt{46}\right)^{2}+12\sqrt{46}+36
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{46}+6\right)^{2}.
46+12\sqrt{46}+36
The square of \sqrt{46} is 46.
82+12\sqrt{46}
Add 46 and 36 to get 82.
\left(\sqrt{46}\right)^{2}+12\sqrt{46}+36
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{46}+6\right)^{2}.
46+12\sqrt{46}+36
The square of \sqrt{46} is 46.
82+12\sqrt{46}
Add 46 and 36 to get 82.
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