Evaluate
17-7\sqrt{5}\approx 1.347524158
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\left(\sqrt{5}\right)^{2}-3\sqrt{5}-4\sqrt{5}+12
Apply the distributive property by multiplying each term of \sqrt{5}-4 by each term of \sqrt{5}-3.
5-3\sqrt{5}-4\sqrt{5}+12
The square of \sqrt{5} is 5.
5-7\sqrt{5}+12
Combine -3\sqrt{5} and -4\sqrt{5} to get -7\sqrt{5}.
17-7\sqrt{5}
Add 5 and 12 to get 17.
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