Evaluate
6\sqrt{5}+14\approx 27.416407865
Expand
6 \sqrt{5} + 14 = 27.416407865
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\left(\sqrt{5}\right)^{2}+6\sqrt{5}+9
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{5}+3\right)^{2}.
5+6\sqrt{5}+9
The square of \sqrt{5} is 5.
14+6\sqrt{5}
Add 5 and 9 to get 14.
\left(\sqrt{5}\right)^{2}+6\sqrt{5}+9
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{5}+3\right)^{2}.
5+6\sqrt{5}+9
The square of \sqrt{5} is 5.
14+6\sqrt{5}
Add 5 and 9 to get 14.
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