Evaluate
7-\sqrt{5}\approx 4.763932023
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12-4\sqrt{5}+3\sqrt{5}-\left(\sqrt{5}\right)^{2}
Apply the distributive property by multiplying each term of 4+\sqrt{5} by each term of 3-\sqrt{5}.
12-\sqrt{5}-\left(\sqrt{5}\right)^{2}
Combine -4\sqrt{5} and 3\sqrt{5} to get -\sqrt{5}.
12-\sqrt{5}-5
The square of \sqrt{5} is 5.
7-\sqrt{5}
Subtract 5 from 12 to get 7.
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