Evaluate
100\sqrt{5}\approx 223.60679775
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5\times 10\sqrt{2}\sqrt{2}\sqrt{5}
Factor 10=2\times 5. Rewrite the square root of the product \sqrt{2\times 5} as the product of square roots \sqrt{2}\sqrt{5}.
5\times 10\times 2\sqrt{5}
Multiply \sqrt{2} and \sqrt{2} to get 2.
50\times 2\sqrt{5}
Multiply 5 and 10 to get 50.
100\sqrt{5}
Multiply 50 and 2 to get 100.
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