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\frac{200\sqrt{2}}{2}
Factor 80000=200^{2}\times 2. Rewrite the square root of the product \sqrt{200^{2}\times 2} as the product of square roots \sqrt{200^{2}}\sqrt{2}. Take the square root of 200^{2}.
100\sqrt{2}
Divide 200\sqrt{2} by 2 to get 100\sqrt{2}.