Evaluate
2\left(\sqrt{5}+3\right)\approx 10.472135955
Expand
2 \sqrt{5} + 6 = 10.472135955
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\left(\sqrt{5}\right)^{2}+2\sqrt{5}+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{5}+1\right)^{2}.
5+2\sqrt{5}+1
The square of \sqrt{5} is 5.
6+2\sqrt{5}
Add 5 and 1 to get 6.
\left(\sqrt{5}\right)^{2}+2\sqrt{5}+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{5}+1\right)^{2}.
5+2\sqrt{5}+1
The square of \sqrt{5} is 5.
6+2\sqrt{5}
Add 5 and 1 to get 6.
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Limits
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