Evaluate
6\sqrt{5}\approx 13.416407865
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2\sqrt{5}-\sqrt{125}+\sqrt{405}
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}.
2\sqrt{5}-5\sqrt{5}+\sqrt{405}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
-3\sqrt{5}+\sqrt{405}
Combine 2\sqrt{5} and -5\sqrt{5} to get -3\sqrt{5}.
-3\sqrt{5}+9\sqrt{5}
Factor 405=9^{2}\times 5. Rewrite the square root of the product \sqrt{9^{2}\times 5} as the product of square roots \sqrt{9^{2}}\sqrt{5}. Take the square root of 9^{2}.
6\sqrt{5}
Combine -3\sqrt{5} and 9\sqrt{5} to get 6\sqrt{5}.
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