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\sqrt{9+69^{2}}
Calculate 3 to the power of 2 and get 9.
\sqrt{9+4761}
Calculate 69 to the power of 2 and get 4761.
\sqrt{4770}
Add 9 and 4761 to get 4770.
3\sqrt{530}
Factor 4770=3^{2}\times 530. Rewrite the square root of the product \sqrt{3^{2}\times 530} as the product of square roots \sqrt{3^{2}}\sqrt{530}. Take the square root of 3^{2}.