Final answer:
To add the complex numbers (8+7j) and (2+4j), simply add the real to real and imaginary to imaginary parts, resulting in the simplified form 10 + 11j.
Step-by-step explanation:
To add the given complex numbers and simplify, we combine like terms, adding the real parts to the real parts and the imaginary parts to the imaginary parts.
(8+7j)+(2+4j) = (8 + 2) + (7j + 4j) = 10 + 11j.
Therefore, the simplified form of the sum of the complex numbers is 10 + 11j, without any spaces between the terms and the imaginary unit.
Simplifying complex numbers by adding the real and imaginary parts separately is similar to the commutative property A+B=B+A, which is also true for the addition of ordinary numbers, such as 2 + 3 or 3 + 2.