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6-\left(-9\right)+\frac{\left(-6\right)^{2}}{2}
The square of \sqrt{6} is 6.
6+9+\frac{\left(-6\right)^{2}}{2}
The opposite of -9 is 9.
15+\frac{\left(-6\right)^{2}}{2}
Add 6 and 9 to get 15.
15+\frac{36}{2}
Calculate -6 to the power of 2 and get 36.
15+18
Divide 36 by 2 to get 18.
33
Add 15 and 18 to get 33.