Answer:
d. [tex]\displaystyle 6[/tex]
Step-by-step explanation:
[tex]\displaystyle [3 + i]^2 = [3 + i][3 + i] = 9 + 6i + i^2 → 9 + 6i - 1 → 6i + 8[/tex]
Therefore, the d-value is 6.
Extended Information on the Complex Number System
[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[every\:multiple\:of\:4][/tex]
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