Determine whether the following number is a real number, an imaginary number, or a pure imaginary number: . The number is __________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to classify a complex number based on its real and imaginary parts.
Key Concept Explanation
A complex number is classified as follows:
Real number: If the imaginary part is zero.
Imaginary number: If the imaginary part is non-zero.
Pure imaginary number: If the real part is zero and the imaginary part is non-zero.
Step-by-step Solution
1. Identify the real part: The real part is
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