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4-\left(-3\right)^{2}-\sqrt{2^{2}}
Calculate the square root of 16 and get 4.
4-9-\sqrt{2^{2}}
Calculate -3 to the power of 2 and get 9.
-5-\sqrt{2^{2}}
Subtract 9 from 4 to get -5.
-5-\sqrt{4}
Calculate 2 to the power of 2 and get 4.
-5-2
Calculate the square root of 4 and get 2.
-7
Subtract 2 from -5 to get -7.