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0.6\times 100\sqrt{2}
Factor 20000=100^{2}\times 2. Rewrite the square root of the product \sqrt{100^{2}\times 2} as the product of square roots \sqrt{100^{2}}\sqrt{2}. Take the square root of 100^{2}.
60\sqrt{2}
Multiply 0.6 and 100 to get 60.