To evaluate:
\[ \sqrt{i}+\sqrt{-i} \]
▼ Show solution
The answer found here, being a false ambiguity, is different to the solution \(\sqrt{2}\) we found in Post 10 and Post 11.
Links to Post 10 and Post 11 are below for two different methods I initially used to solve this problem.
In Post 14 I show a clarification to the false ambiguity problem.
Post 10: Sum of Root i and Root -i: Solution 1
Post 11: Sum of Root i and Root -i: Solution 2
Post 14: Sum of Root i and Root -i: Solution 3 - Polar Form Solution