Question

What can be said about the complex number z if z = bar(z)? Explain.

Answer 1

If a complex number is equal to its complex conjugate, it means the imaginary part of the complex number is zero, making it a real number.

Step-by-step explanation:

The complex number z is said to be equal to its complex conjugate bar(z) if and only if the imaginary part of z is equal to the negative of the imaginary part of z. In other words, if z = a + bi, where a and b are real numbers, then the condition for z = bar(z) is that b = -b. This implies that b = 0, which means the complex number z is actually a real number.