Evaluate
62\sqrt{3}+964\approx 1071.387150069
Expand
62 \sqrt{3} + 964 = 1071.387150069
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961+62\sqrt{3}+\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(31+\sqrt{3}\right)^{2}.
961+62\sqrt{3}+3
The square of \sqrt{3} is 3.
964+62\sqrt{3}
Add 961 and 3 to get 964.
961+62\sqrt{3}+\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(31+\sqrt{3}\right)^{2}.
961+62\sqrt{3}+3
The square of \sqrt{3} is 3.
964+62\sqrt{3}
Add 961 and 3 to get 964.
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