To find the sum of the two complex numbers, we start by identifying the components of each number. The first complex number is 12 + 5i, where 12 is the real part and 5i is the imaginary part. The second complex number is 3 + 4i, with 3 as the real part and 4i as the imaginary part.
We can add complex numbers by separately adding the real parts and the imaginary parts:
Real Part Calculation: 12 + 3 = 15
Imaginary Part Calculation: 5i + 4i = 9i
Putting the real and imaginary parts together, we get:
Sum = 15 + 9i
Thus, the sum of 12 + 5i and 3 + 4i is 15 + 9i.