Evaluate
41-12\sqrt{5}\approx 14.16718427
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41-12\sqrt{5}
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\left(\sqrt{5}\right)^{2}-12\sqrt{5}+36
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{5}-6\right)^{2}.
5-12\sqrt{5}+36
The square of \sqrt{5} is 5.
41-12\sqrt{5}
Add 5 and 36 to get 41.
\left(\sqrt{5}\right)^{2}-12\sqrt{5}+36
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{5}-6\right)^{2}.
5-12\sqrt{5}+36
The square of \sqrt{5} is 5.
41-12\sqrt{5}
Add 5 and 36 to get 41.
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