Final answer:
The classification of the expression V² depends on the value of V; it can be a whole number, rational number, irrational number, or an imaginary number based on the nature of V.
Step-by-step explanation:
When determining the classification of the expression V², it's important to consider various types of numbers. If V represents a non-negative number, then V² is a whole number if V itself is a whole number, otherwise V² is a positive rational number if V is a rational number.
In the case where V is an irrational number, the square of it, V², would still be irrational. It is only an imaginary number if V is an imaginary number because the square of an imaginary number remains in the complex field.