Evaluate
50\sqrt{3}\approx 86.602540378
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\sqrt{10000-50^{2}}
Calculate 100 to the power of 2 and get 10000.
\sqrt{10000-2500}
Calculate 50 to the power of 2 and get 2500.
\sqrt{7500}
Subtract 2500 from 10000 to get 7500.
50\sqrt{3}
Factor 7500=50^{2}\times 3. Rewrite the square root of the product \sqrt{50^{2}\times 3} as the product of square roots \sqrt{50^{2}}\sqrt{3}. Take the square root of 50^{2}.
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