Evaluate
11-5\sqrt{5}\approx -0.180339887
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\left(\sqrt{5}\right)^{2}-2\sqrt{5}-3\sqrt{5}+6
Apply the distributive property by multiplying each term of \sqrt{5}-3 by each term of \sqrt{5}-2.
5-2\sqrt{5}-3\sqrt{5}+6
The square of \sqrt{5} is 5.
5-5\sqrt{5}+6
Combine -2\sqrt{5} and -3\sqrt{5} to get -5\sqrt{5}.
11-5\sqrt{5}
Add 5 and 6 to get 11.
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