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\sqrt{400+80^{2}}
Calculate 20 to the power of 2 and get 400.
\sqrt{400+6400}
Calculate 80 to the power of 2 and get 6400.
\sqrt{6800}
Add 400 and 6400 to get 6800.
20\sqrt{17}
Factor 6800=20^{2}\times 17. Rewrite the square root of the product \sqrt{20^{2}\times 17} as the product of square roots \sqrt{20^{2}}\sqrt{17}. Take the square root of 20^{2}.