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Surprising answer III (Posted on 2023-06-04) Difficulty: 2 of 5
Evaluate:

sqrt(i)+sqrt(-i).

o There are at least 3 distinct methods

No Solution Yet Submitted by Ady TZIDON    
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re: 2nd method | Comment 5 of 6 |
(In reply to 2nd method by Larry)

Sorry, Larry.  ±i√2 is cannot be a solution, because when sqrt(i)+sqrt(-i) is squared we get 2, not -2.  This has nothing to do with "principal roots argument".  No matter which way you land on that argument, ±i√2 is not a solution.
  Posted by Steve Herman on 2023-06-04 17:16:24

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