Evaluate
12\sqrt{5}\approx 26.83281573
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2\sqrt{5}+\sqrt{80}+\sqrt{180}
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}+4\sqrt{5}+\sqrt{180}
Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.
6\sqrt{5}+\sqrt{180}
Combine 2\sqrt{5} and 4\sqrt{5} to get 6\sqrt{5}.
6\sqrt{5}+6\sqrt{5}
Factor 180=6^{2}\times 5. Rewrite the square root of the product \sqrt{6^{2}\times 5} as the product of square roots \sqrt{6^{2}}\sqrt{5}. Take the square root of 6^{2}.
12\sqrt{5}
Combine 6\sqrt{5} and 6\sqrt{5} to get 12\sqrt{5}.
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