Question

write each indicated quotient as a single complex number. 3-2i/2+i

Answer 1

You got to multiply top and bottom with the complex conjugate of the denominator. Its like how you simplify surds.

Answer 2

The complex conjugate of a complex number is simply the same complex number except that the imaginary part is multiplied by negative one.

Answer 3

use this idea
\(\large\tt \begin{align} \color{black}{\dfrac{3-2i}{2+i}\\~\\
=\dfrac{3-2i}{2+i}\times\dfrac{2-i}{2-i}\\~\\
}\end{align}\)