Question

Given z1 = 2 + √3i and z2 = 1 - √3i, what is the sum of z1 and z2?

a) 3
b) 3 + 2√3i
c) -1 - 2√3i
d) 1

Answer 1

The sum of the complex numbers z1 and z2 is 3.

Step-by-step explanation:

To find the sum of complex numbers, we add the real parts and the imaginary parts separately. In this case, the real part of z1 is 2 and the real part of z2 is 1. So the sum of the real parts is 2 + 1 = 3. The imaginary part of z1 is √3i and the imaginary part of z2 is -√3i. So the sum of the imaginary parts is √3i - √3i = 0. Therefore, the sum of z1 and z2 is 3.