Complex numbers can be added easily by adding the real parts together and then adding the imaginary parts together. This is similar to combining like terms with variables.
A complex number in standard form is defined as
a + bi
Where a and b are real numbers and i is the imaginary unit. We call "a" the real part of the complex number and "b" the imaginary part of the complex number.
Take the real parts and the imaginary parts separately.
Then find the real part of the number, by adding 2 real part .
Then find the imaginary part of the number, by adding 2 imaginary part.
Adding complex numbers.
Example: (3+2i) + (1+4i)
Real part = 3 + 1 = 4
Imaginary part = 2i + 4i = 6i
The answer is 4 + 6i
Additing complex numbers: (5 + 3i) + (7 + 2i)
Real parts = 5 + 7 = 12
Imaginary parts = 3i + 2i = 5i
The answer is 12 + 5i