How calculate (1+i)/(3-i)?

### 1 Answer | Add Yours

To calculate `(1+i)/(3-i)` first of all rationalize the denominator.

Multiply the numerator and the denominator by `(3+i)` .

`(1+i)/(3-i)*(3+i)/(3+i)`

`=(3+4i+i^2)/(9-i^2)`

`=(2+4i)/10` (since,` i^2=-1` )

`=0.2+0.4i`

Hence, the required answer is **0.2+0.4i.**

**Sources:**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes