Question

Simplify (3+4i)/1+2i. The answer should be of form a+bi

Answer 1

Assuming you mean (3+4i)/(1+2i):

Multiply numerator and denominator by the conjugate 1−2i:

(3+4i)(1−2i) / (1+2i)(1−2i) = (11−2i) / 5 = 11/5 − (2/5)i.

So a = 11/5 and b = −2/5.