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\sqrt{2704+65^{2}}
Calculate 52 to the power of 2 and get 2704.
\sqrt{2704+4225}
Calculate 65 to the power of 2 and get 4225.
\sqrt{6929}
Add 2704 and 4225 to get 6929.
13\sqrt{41}
Factor 6929=13^{2}\times 41. Rewrite the square root of the product \sqrt{13^{2}\times 41} as the product of square roots \sqrt{13^{2}}\sqrt{41}. Take the square root of 13^{2}.