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\sqrt{3+6}+\frac{4-8\times 2}{3}
Divide 12 by 2 to get 6.
\sqrt{9}+\frac{4-8\times 2}{3}
Add 3 and 6 to get 9.
3+\frac{4-8\times 2}{3}
Calculate the square root of 9 and get 3.
3+\frac{4-16}{3}
Multiply 8 and 2 to get 16.
3+\frac{-12}{3}
Subtract 16 from 4 to get -12.
3-4
Divide -12 by 3 to get -4.
-1
Subtract 4 from 3 to get -1.