Evaluate
500\sqrt{2}\approx 707.106781187
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100\times 5\sqrt{2}
Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.
500\sqrt{2}
Multiply 100 and 5 to get 500.
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