To find the length between the two points \((2, -3)\) and \((5, 5)\), we can use the distance formula, which is derived from the Pythagorean theorem. The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, our points are \((x_1, y_1) = (2, -3)\) and \((x_2, y_2) = (5, 5)\).
First, we calculate the differences in the coordinates:
\[ x_2 - x_1 = 5 - 2 = 3 \] \[ y_2 - y_1 = 5 - (-3) = 5 + 3 = 8 \]
Now we input these differences into the distance formula:
\[ d = \sqrt{(3)^2 + (8)^2} \] \[ d = \sqrt{9 + 64} \] \[ d = \sqrt{73} \]
Next, we need to calculate \(\sqrt{73}\) and round it to the nearest hundredth:
\[ \sqrt{73} \approx 8.544 \]
Rounding this to the nearest hundredth gives us:
\[ d \approx 8.54 \]
So the answer is \( \boxed{8.54} \).