Perform the addition and write the result in standard form. (Simplify your answer completely.)

Question

(5.7 + 3.6i) + (-1.8 + 4.1i)

=

Answer 1

Add the real parts and add the imaginary parts separately:

(a + bi) + (c + di) = (a+c) + (b+d)i

Answer 2

To add any number of complex numbers, simply add up the real and imaginary components.

In this case:

real = 5.7 - 1. 8 = 3.9

imaginary total = 3.6 + 4.1 = 7.7

SO---the sum is 3.9 + 7.7 i