Find the Area of the Surface $$z = \frac { 2 } { 3 } \left( x ^ { 3 / 2 } + y ^ { 3 / 2 } \right) , 0 \leq x \leq 3,0 \leq y \leq 3$$

Short Answer

Find the area of the surface. Round your answer to three decimal places.
$$z = \frac { 2 } { 3 } \left( x ^ { 3 / 2 } + y ^ { 3 / 2 } \right) , 0 \leq x \leq 3,0 \leq y \leq 3$$