Evaluate
1000\sqrt{2}\approx 1414.213562373
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1000\sqrt{2}
Factor 2000000=1000^{2}\times 2. Rewrite the square root of the product \sqrt{1000^{2}\times 2} as the product of square roots \sqrt{1000^{2}}\sqrt{2}. Take the square root of 1000^{2}.
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