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\sqrt{14400+140^{2}}
Calculate 120 to the power of 2 and get 14400.
\sqrt{14400+19600}
Calculate 140 to the power of 2 and get 19600.
\sqrt{34000}
Add 14400 and 19600 to get 34000.
20\sqrt{85}
Factor 34000=20^{2}\times 85. Rewrite the square root of the product \sqrt{20^{2}\times 85} as the product of square roots \sqrt{20^{2}}\sqrt{85}. Take the square root of 20^{2}.