Chapter 4.4, Problem 7E

To determine

To simplify: the given expression by using graph.

Answer to Problem 7E

The required simplification of the complex number is $z=4+2i$ .

Explanation of Solution

Given information:

Given expression,

  $\left(6+5i\right)+\left(-2-3i\right)$

Calculation:

To simplify the complex number of by graphing in the complex plane,

Consider the following complex number,

  $z=\left(6+5i\right)+\left(-2-3i\right)$

Use MAPLE to simplify the complex number of by graphing.

  

Then, from the graph,

  $\begin{array}{c}z=\left(6+5i\right)+\left(-2-3i\right)\\ =\left(6-2\right)+\left(5i-3i\right)\\ =4+2i\end{array}$

Hence, the required simplification of the complex number is $z=4+2i$ .