If z is a complex number then the product of z and its conjugate is a real number.
A)false
B)true

Name: If z is a complex number then the product of z and its conjugate is a real number. A)false B)true
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Question

If z is a complex number then the product of z and its conjugate is a real number. ​
A)false
B)true

Quizplus · Accepted Answer

When we multiply a complex number by its conjugate, we get:
z × z* = (a + bi)(a - bi) = a^2 + b^2
Since a and b are real numbers, a^2 + b^2 is also a real number. Therefore, the product of z and its conjugate is always a real number.

If Z Is a Complex Number Then the Product of Z