Evaluate
10\sqrt{3}+28\approx 45.320508076
Expand
10 \sqrt{3} + 28 = 45.320508076
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25+10\sqrt{3}+\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+\sqrt{3}\right)^{2}.
25+10\sqrt{3}+3
The square of \sqrt{3} is 3.
28+10\sqrt{3}
Add 25 and 3 to get 28.
25+10\sqrt{3}+\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+\sqrt{3}\right)^{2}.
25+10\sqrt{3}+3
The square of \sqrt{3} is 3.
28+10\sqrt{3}
Add 25 and 3 to get 28.
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