To simplify the expression 3 + 4i + 5 + 2i, we start by combining like terms. This expression consists of real numbers and imaginary numbers:
- Real parts: 3 and 5
- Imaginary parts: 4i and 2i
Next, add the real parts together:
- 3 + 5 = 8
Then, add the imaginary parts:
- 4i + 2i = 6i
Putting it all together, the simplified expression is:
8 + 6i
So, 3 + 4i + 5 + 2i simplifies to 8 + 6i.