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\sqrt{40000-150^{2}}
Calculate 200 to the power of 2 and get 40000.
\sqrt{40000-22500}
Calculate 150 to the power of 2 and get 22500.
\sqrt{17500}
Subtract 22500 from 40000 to get 17500.
50\sqrt{7}
Factor 17500=50^{2}\times 7. Rewrite the square root of the product \sqrt{50^{2}\times 7} as the product of square roots \sqrt{50^{2}}\sqrt{7}. Take the square root of 50^{2}.