Algebra-2

Question Analysis
This problem assesses the ability to classify different types of complex numbers based on their real and imaginary parts.

Key Concept Explanation
A real number has an imaginary part of 0.
A pure imaginary number has a real part of 0 and a non-zero imaginary part.
An imaginary number has a non-zero imaginary part.

Step-by-step Solution
1. Classify : The real part is and the imaginary part is 0. Therefore, is a real number.
2. Classify : The real part is 0 and the imaginary part is . Therefore, is a pure imaginary number.
3. Classify