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ఓ 1.8.4 Quiz: Multiplying and Dividing Complex Numbers
Question 5 of 10
The product of a complex number and its conjugate is a real number.
A. True
B. False
Answer
Final Answer: \(\boxed{\text{A. True}}\)
Step 1 ：The product of a complex number and its conjugate is a real number. The conjugate of a complex number is obtained by changing the sign of its imaginary part. When a complex number is multiplied by its conjugate, the result is a real number. This is because the product of the imaginary parts gives a negative square, which when added to the square of the real part, results in a real number. Therefore, the statement is true.
Step 2 ：Final Answer: \(\boxed{\text{A. True}}\)
