The additive inverse of –2+ 8i will be 2 – 8i. The additive inverse of a digit is the digit that delivers zero when added to it.
The additive inverse of a number is the number that produces zero when added to it. A negative number's additive inverse is positive. The additive inverse of itself is zero.
From the definition;
[tex]\rm x= 2+ 8i \\\\ \rm x= 2+ 8i + 2-8i \\\\ \rm x= 0[/tex]
Option C gives zero on addition. That's why it is correct.
Hence the additive inverse of –2+ 8i will be 2 – 8i.
To learn more about the additive inverse refer to the link;
https://brainly.com/question/13715269