Evaluate
14-6\sqrt{5}\approx 0.583592135
Expand
14-6\sqrt{5}
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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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