Chapter 10 - For Thought and Discussion - Page 184: 3

Please see the work below.

We know that rotational inertia is different for different axes of rotation and it can be seen by the parallel axis theorem that is $I=I_{CM}+mr^2$ where $I_{CM}$ is the rotational inertia about the center of mass. This equation also helps us to conclude that the rotational inertia is minimum about an axis passing through the center of mass.