Evaluate
5\sqrt{5}\approx 11.180339887
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3\sqrt{5}-2\times 2\sqrt{5}+3\sqrt{20}
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}.
3\sqrt{5}-4\sqrt{5}+3\sqrt{20}
Multiply -2 and 2 to get -4.
-\sqrt{5}+3\sqrt{20}
Combine 3\sqrt{5} and -4\sqrt{5} to get -\sqrt{5}.
-\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{5}+6\sqrt{5}
Multiply 3 and 2 to get 6.
5\sqrt{5}
Combine -\sqrt{5} and 6\sqrt{5} to get 5\sqrt{5}.
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Limits
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