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\frac{2\sqrt{5}}{\sqrt{2}}\sqrt{2}\sqrt{5}-5
Cancel out 2 and 2.
2\sqrt{5}\sqrt{5}-5
Cancel out \sqrt{2} and \sqrt{2}.
2\times 5-5
Multiply \sqrt{5} and \sqrt{5} to get 5.
10-5
Multiply 2 and 5 to get 10.
5
Subtract 5 from 10 to get 5.