How do you simplify \frac{4+2i}{3-i}?

Calvin Hess

Calvin Hess

Answered question

2022-02-02

How do you simplify 4+2i3i?

Answer & Explanation

lorugb

lorugb

Beginner2022-02-03Added 13 answers

Step 1
If you want to calculate a quotient of 2 complex numbers it is good to expand the fraction by the complex conjugate of the denominator to make it (the denominator) a real number:
4+2i3i=4+2i3i×3+i3+i=
(4+2i)×(3+i)(3i)(3+i)
10+10i10=10×(1+i)10=1+i

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?