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3\sqrt{5}-\sqrt{2}\sqrt{2}\sqrt{5}
Factor 10=2\times 5. Rewrite the square root of the product \sqrt{2\times 5} as the product of square roots \sqrt{2}\sqrt{5}.
3\sqrt{5}-2\sqrt{5}
Multiply \sqrt{2} and \sqrt{2} to get 2.
\sqrt{5}
Combine 3\sqrt{5} and -2\sqrt{5} to get \sqrt{5}.