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\sqrt{1600-20^{2}}
Calculate 40 to the power of 2 and get 1600.
\sqrt{1600-400}
Calculate 20 to the power of 2 and get 400.
\sqrt{1200}
Subtract 400 from 1600 to get 1200.
20\sqrt{3}
Factor 1200=20^{2}\times 3. Rewrite the square root of the product \sqrt{20^{2}\times 3} as the product of square roots \sqrt{20^{2}}\sqrt{3}. Take the square root of 20^{2}.