Evaluate
12\sqrt{5}\approx 26.83281573
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2\sqrt{5}-18\sqrt{5}+14\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}.
-16\sqrt{5}+14\sqrt{20}
Combine 2\sqrt{5} and -18\sqrt{5} to get -16\sqrt{5}.
-16\sqrt{5}+14\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}.
-16\sqrt{5}+28\sqrt{5}
Multiply 14 and 2 to get 28.
12\sqrt{5}
Combine -16\sqrt{5} and 28\sqrt{5} to get 12\sqrt{5}.
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