Evaluate
10\left(\sqrt{5}+3\right)\approx 52.360679775
Expand
10 \sqrt{5} + 30 = 52.360679775
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25+10\sqrt{5}+\left(\sqrt{5}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+\sqrt{5}\right)^{2}.
25+10\sqrt{5}+5
The square of \sqrt{5} is 5.
30+10\sqrt{5}
Add 25 and 5 to get 30.
25+10\sqrt{5}+\left(\sqrt{5}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+\sqrt{5}\right)^{2}.
25+10\sqrt{5}+5
The square of \sqrt{5} is 5.
30+10\sqrt{5}
Add 25 and 5 to get 30.
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