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2+\sqrt{4}-\left(-1\right)^{2}
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.
2+2-\left(-1\right)^{2}
Calculate the square root of 4 and get 2.
4-\left(-1\right)^{2}
Add 2 and 2 to get 4.
4-1
Calculate -1 to the power of 2 and get 1.
3
Subtract 1 from 4 to get 3.