Problem

- Il Metro by T-Mobile $\rightleftharpoons \quad$ 4:32 PM $87 \% \square$ Done ourse.apexlearning.com 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

Solution

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: \(\boxed{\text{A. True}}\)

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