Write as sum of real and imaginary part

[greisen]

Hi,

I have to write the 1/(a+ib) as a sum of a real part and an imaginary part.

I was thinking of using the complex conjugate (a-ib) and multiply with this

(a-ib) / (a^2 + b^2)

I am a little bit lost on what to do next - any help appreciated thanks in advance

Best

 

[Shooting Star]

(a-ib) / (a^2 + b^2)

I am a little bit lost on what to do next - any help appreciated thanks in advance

Do you know how to write (x+y)/z as the sum of two fractions?

 

[tiny-tim]

(a-ib) / (a^2 + b^2)

Hi greisen!

You've done it!

That is the solution!

 

[Shooting Star]

That is the solution!

Not for a student who is just learning complex numbers. He won't get full marks if he leaves it at that.