Question

Find the conjugate of the complex number, use division:
2+i
——
1+i

Answer 1

I assume you mean divide using the conjugate to rationalize the denominator and express the result in standard rectangular form.

`(2+i)/(1+i) = (2+i)/(1+i) \cdot (1-i)/(1-i) = (2(1)-i^2-2i+i)/(1^2+1^2) = \frac 3 2 - \frac 1 2 i`