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\sqrt{4900+50^{2}}
Calculate 70 to the power of 2 and get 4900.
\sqrt{4900+2500}
Calculate 50 to the power of 2 and get 2500.
\sqrt{7400}
Add 4900 and 2500 to get 7400.
10\sqrt{74}
Factor 7400=10^{2}\times 74. Rewrite the square root of the product \sqrt{10^{2}\times 74} as the product of square roots \sqrt{10^{2}}\sqrt{74}. Take the square root of 10^{2}.