Sum of Root i and Root -i: Solution 3 - Polar Form Solution

Post 14 | Date: 2026‑07‑05

To evaluate:

\[ \sqrt{i}+\sqrt{-i} \]
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Links to Post 10 and Post 11 I provide below for two different methods I initially used to solve this problem.
In Post 13 I show a false ambiguity to this problem, the clarification for which is the current Post 14 you are reading.

Post 10: Sum of Root i and Root -i: Solution 1

Post 11: Sum of Root i and Root -i: Solution 2

Post 13: Sum of Root i and Root -i: False Ambiguity