Final answer:
The number -√144 belongs to an infinite number of subsets.
Step-by-step explanation:
To find the number of subsets to which the number -√144 belongs, we need to first understand what a subset is. A subset is a set that contains a portion of the elements of another set. In this case, the number -√144 belongs to the set of real numbers. A subset of the real numbers can contain any combination of real numbers, including -√144.
Since a set can have 2^n subsets, where n is the number of elements in the set, the set of real numbers has an infinite number of subsets. Therefore, the number -√144 belongs to an infinite number of subsets.