Chapter 3.5, Problem 8E

To determine

To find the real and imaginary parts of the complex number.

Answer to Problem 8E

For the complex number $2+\frac{7i}{2}$ ; the real part is $2$ and the imaginary part $\frac{7i}{2}$ .

Explanation of Solution

Given information: the complex number is given $\frac{4+7i}{2}$ .

A complex number is an expression of the form $a+bi$ . Here $a$ is the real part and $b$ is the imaginary part.

Comparing the standard form of equation $a+bi$ ; with the given complex number,

  $\frac{4+7i}{2}=\frac{4}{2}+\frac{7i}{2}=2+\frac{7i}{2}$ .

It is obtained that,

The real part is $2$ .

The imaginary part is $\frac{7i}{2}$ .

Therefore,

For the complex number $2+\frac{7i}{2}$ ; the real part is $2$ and the imaginary part $\frac{7i}{2}$ .