To simplify the expression 6 + 2i + 8 + 3i, we can start by combining like terms. Like terms are those that have the same type of component, in this case, the real numbers and the imaginary numbers.
Let’s break it down:
- First, identify the real parts: 6 (real).
- Next, identify the imaginary parts: 2i (imaginary) + 3i (imaginary).
Now, we will do the calculations:
- Real parts: 6 + 8 = 14
- Imaginary parts: 2i + 3i = 5i
Putting it all together, we get:
14 + 5i
Thus, the simplified form of the expression 6 + 2i + 8 + 3i is 14 + 5i.