Evaluate
5\sqrt{2}\approx 7.071067812
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\sqrt{10}\left(2\sqrt{5}-\sqrt{5}\right)
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{10}\sqrt{5}
Combine 2\sqrt{5} and -\sqrt{5} to get \sqrt{5}.
\sqrt{5}\sqrt{2}\sqrt{5}
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}.
5\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
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