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\sqrt{1600+40^{2}}
Calculate 40 to the power of 2 and get 1600.
\sqrt{1600+1600}
Calculate 40 to the power of 2 and get 1600.
\sqrt{3200}
Add 1600 and 1600 to get 3200.
40\sqrt{2}
Factor 3200=40^{2}\times 2. Rewrite the square root of the product \sqrt{40^{2}\times 2} as the product of square roots \sqrt{40^{2}}\sqrt{2}. Take the square root of 40^{2}.