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11-\left(-3\right)^{2}+\sqrt{16}
Calculate the square root of 121 and get 11.
11-9+\sqrt{16}
Calculate -3 to the power of 2 and get 9.
2+\sqrt{16}
Subtract 9 from 11 to get 2.
2+4
Calculate the square root of 16 and get 4.
6
Add 2 and 4 to get 6.