Question

Express the following division in the form of a + bi: (7 + 4i)/(8 + 3i).

Answer 1

Given:

There is an expression given as below

`(\left(7+4i\right))/(\left(8+3i\right))`

Required:

We need to find the division

Step-by-step explanation:

`\begin{gathered} (7+4i)/(8+3i)*(8-3i)/(8-3i) \\ \\ =(56-21i+32i+12)/(64+9) \\ \\ =(68+11i)/(73) \\ \\ =(68)/(73)+(11)/(73)i \end{gathered}`

Final answer:

(68/73)+(11/73)i