Question

# Express each of the following complex numbers in the form of x+iy 1+i/3+i

Answer

0.4 + 0.2i

- Q:Find the complex conjugate of denominator. A:The complex conjugate of 3 + i is 3 - i.
- Q:Multiply both numerator and denominator by the complex conjugate of the denominator. A:(1 + i) * (3 - i) / ((3 +i) * (3 -i)) = (3 + 2i - i^2) / (9 - i^2) = (4 + 2i) / 10.
- Q:Simplify the result. A:x = 4/10, y = 2/10, so 1+i/3+i = 0.4 + 0.2i.