Evaluate
400000\sqrt{2}\approx 565685.424949238
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800\times 500\sqrt{2}
Factor 500000=500^{2}\times 2. Rewrite the square root of the product \sqrt{500^{2}\times 2} as the product of square roots \sqrt{500^{2}}\sqrt{2}. Take the square root of 500^{2}.
400000\sqrt{2}
Multiply 800 and 500 to get 400000.
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