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\sqrt{36-9^{\frac{3}{2}}}
Calculate 216 to the power of \frac{2}{3} and get 36.
\sqrt{36-27}
Calculate 9 to the power of \frac{3}{2} and get 27.
\sqrt{9}
Subtract 27 from 36 to get 9.
3
Calculate the square root of 9 and get 3.