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\sqrt{-4-2\left(-2\right)-3}
Calculate 2 to the power of 2 and get 4.
\sqrt{-4-\left(-4\right)-3}
Multiply 2 and -2 to get -4.
\sqrt{-4+4-3}
The opposite of -4 is 4.
\sqrt{0-3}
Add -4 and 4 to get 0.
\sqrt{-3}
Subtract 3 from 0 to get -3.