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Date: Wed, 02 Apr 25 13:31:01 +0000
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From: Richard Hachel <r.hachel@tiscali.fr>
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Le 02/04/2025 à 15:21, Python a écrit :
> Le 02/04/2025 à 14:32, Richard Hachel a écrit :
>> How can mathematicians come up with such absurdities?
>> 
>> https://www.youtube.com/watch?v=XZriBHTNPw0
> 
> It is a quite elegant way to show that sqrt(i) + sqrt(-i) = +/- sqrt(2)
> (only keep "+" if you're interested only by the principal values of sqrt).
> 
> Why does it bother you ?
> 
> As an exercise you can also show that sqrt(i) - sqrt(-i) = +/- i*sqrt(2)

In my case, that's 

sqrt(i) + sqrt(-i) = 0

and sqrt(i) - sqrt(-i) = 2i.

But everyone understands that I don't count the same way.

R.H.