Algebra
posted by Corinna on .
I have to rationalize the denominator of 2+3i/1+2i. I multiplyed this expression by 12i/12i, resulting in 2+4i+3i+6i^2/1+2i+2i+4i^2. It then became 2+2i+3i+6/11+2i+3. Is this right? Thanks!

After multiplying I got
(2  4i + 3i  6i^2)/(1  4i^2)
= 2 i + 6)/(1 + 4)
= 8i)/5