Evaluate
3\sqrt{5}-\sqrt{2}\approx 5.29399037
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-\sqrt{2}-3\sqrt{5}+3\times 2\sqrt{5}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
-\sqrt{2}-3\sqrt{5}+6\sqrt{5}
Multiply 3 and 2 to get 6.
-\sqrt{2}+3\sqrt{5}
Combine -3\sqrt{5} and 6\sqrt{5} to get 3\sqrt{5}.
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