8
QuizMultiple Choice

Operations with Complex Numbers

Question 8 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

What is the value of the product (3 – 2i)(3 + 2i)?

Answer
A
5
B
9 + 4i
C
9 – 4i
D
13

Explanation

The factors are complex conjugates, so their product is the square of the real part plus the square of the imaginary part: 3² + 2² = 9 + 4 = 13. Therefore, the product is 13, choice D.

AI-written and checked against the verified answer.

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