Question

How do you divide `(6+5i)/(6-5i)`?

Answer 1

Multiply numerator and denominator by the complex conjugate of the denominator to find:

`(6+5i)/(6-5i)=(11+60i)/61`

Explanation:

`(6+5i)/(6-5i)`

`=((6+5i)(6+5i))/((6-5i)(6+5i))`

`=(36+60i-25)/(36+25)`

`=(11+60i)/61`