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6+2\sqrt{5}-3\sqrt{5}-\left(\sqrt{5}\right)^{2}
Apply the distributive property by multiplying each term of 2-\sqrt{5} by each term of 3+\sqrt{5}.
6-\sqrt{5}-\left(\sqrt{5}\right)^{2}
Combine 2\sqrt{5} and -3\sqrt{5} to get -\sqrt{5}.
6-\sqrt{5}-5
The square of \sqrt{5} is 5.
1-\sqrt{5}
Subtract 5 from 6 to get 1.