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\sqrt{-64-4\times \frac{1}{2}\times 9}
Calculate 8 to the power of 2 and get 64.
\sqrt{-64-\frac{4}{2}\times 9}
Multiply 4 and \frac{1}{2} to get \frac{4}{2}.
\sqrt{-64-2\times 9}
Divide 4 by 2 to get 2.
\sqrt{-64-18}
Multiply 2 and 9 to get 18.
\sqrt{-82}
Subtract 18 from -64 to get -82.