Worksheet for Complex Number Division

This worksheet will help you to know about the Complex number division. A complex number is a type of number consist of real part and imaginary part and is represented by a + bi
where
"a" is a real part denoted by Re(z)
"b" is a complex part denoted by Im(z)

Let z1 and z2 be the two complex numbers
z1 = a + bi
z2 = c + di

complex numbers division formula:

c - di is the complex conjugate of the denominator c + di. The real part c and the imaginary part d of the denominator must not both be zero for division to be defined


For Example
Calculate the Complex Division whose
z1 = 1 + 2i
z2 = 3 +4i
Here a = 1, b = 2, c = 3, d = 4
(z1/ z2 ) = {((1 x 3) + (2 x 4))/(32 + 42)} + {(2 x 3 -1 x 4)/ (32 + 42)}i
= 0.44 + 0.08i
The resultant complex value is 0.44 + 0.08i

When you try such calculations on your own, this complex number division calculator can be used to verify your results of calculations.