Question

True or false: the product of a complex number and it’s conjugate is a real number

Answer 1

HI THERE !!

yes, this is true, the product of a complex number and its conjugate is its real number!!


have a good day :)

Answer 2

`a,b\in\mathbb{R}\\ z=a+bi\\ \overline{z}=a-bi\\\\ z\cdot\overline{z}=(a+bi)(a-bi)=a^2+b^2`

If
`a,b\in\mathbb{R}` then also
`(a^2+b^2)\in\mathbb{R}`, so it's true.