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\sqrt{-2\sqrt{9}+2^{2}}
Calculate 3 to the power of 2 and get 9.
\sqrt{-2\times 3+2^{2}}
Calculate the square root of 9 and get 3.
\sqrt{-6+2^{2}}
Multiply -2 and 3 to get -6.
\sqrt{-6+4}
Calculate 2 to the power of 2 and get 4.
\sqrt{-2}
Add -6 and 4 to get -2.