Question

The Sum of Two Imaginary Numbers Is an Imaginary Number

A) True
B) False
C) Depends on the Magnitude
D) Only true for certain imaginary numbers

Answer 1

The sum of two imaginary numbers is not always an imaginary number; it depends on the specific values being added.

Step-by-step explanation:

The statement is false. The sum of two imaginary numbers is not always an imaginary number. It depends on the specific values of the imaginary numbers being added.

For example, if we add the imaginary numbers 3i and -2i, the sum is 3i + (-2i) = i, which is indeed an imaginary number. But if we add the imaginary numbers 3i and 2i, the sum is 3i + 2i = 5i, which is still an imaginary number.

Therefore, the sum of two imaginary numbers can be an imaginary number, but it is not always the case.