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\sqrt{4900+80^{2}}
Calculate 70 to the power of 2 and get 4900.
\sqrt{4900+6400}
Calculate 80 to the power of 2 and get 6400.
\sqrt{11300}
Add 4900 and 6400 to get 11300.
10\sqrt{113}
Factor 11300=10^{2}\times 113. Rewrite the square root of the product \sqrt{10^{2}\times 113} as the product of square roots \sqrt{10^{2}}\sqrt{113}. Take the square root of 10^{2}.