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\sqrt{6400-40^{2}}
Calculate 80 to the power of 2 and get 6400.
\sqrt{6400-1600}
Calculate 40 to the power of 2 and get 1600.
\sqrt{4800}
Subtract 1600 from 6400 to get 4800.
40\sqrt{3}
Factor 4800=40^{2}\times 3. Rewrite the square root of the product \sqrt{40^{2}\times 3} as the product of square roots \sqrt{40^{2}}\sqrt{3}. Take the square root of 40^{2}.