The additive inverse of a complex number is found by negating both its real and imaginary parts. For the complex number 12 + 4i, the real part is 12 and the imaginary part is 4i.
To find the additive inverse, we simply change the signs of these parts. Thus, the additive inverse of 12 + 4i is:
- Real part: -12
- Imaginary part: -4i
Putting it all together, the additive inverse is:
-12 – 4i
This means that when you add 12 + 4i and its additive inverse -12 – 4i, the sum is:
(12 + 4i) + (-12 – 4i) = 0
Therefore, the additive inverse of the complex number 12 + 4i is -12 – 4i.