Evaluate
20\sqrt{2}\approx 28.284271247
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\left(2\sqrt{5}+2\sqrt{5}\right)\sqrt{10}
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}.
4\sqrt{5}\sqrt{10}
Combine 2\sqrt{5} and 2\sqrt{5} to get 4\sqrt{5}.
4\sqrt{5}\sqrt{5}\sqrt{2}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
4\times 5\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
20\sqrt{2}
Multiply 4 and 5 to get 20.
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