Evaluate
11\left(\sqrt{5}+1\right)\approx 35.596747752
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21+14\sqrt{5}-3\sqrt{5}-2\left(\sqrt{5}\right)^{2}
Apply the distributive property by multiplying each term of 7-\sqrt{5} by each term of 3+2\sqrt{5}.
21+11\sqrt{5}-2\left(\sqrt{5}\right)^{2}
Combine 14\sqrt{5} and -3\sqrt{5} to get 11\sqrt{5}.
21+11\sqrt{5}-2\times 5
The square of \sqrt{5} is 5.
21+11\sqrt{5}-10
Multiply -2 and 5 to get -10.
11+11\sqrt{5}
Subtract 10 from 21 to get 11.
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