sqrt(1+i)

[Erwin]

(10-04-2016 12:41 PM)moonbeam Wrote:  

(09-27-2016 04:19 AM)Helge Gabert Wrote:  But now try sqrt(sqrt(1+i)) . . . That is probably the reason why Bernard resorted to the approximations.

I concur that the exact results aren't likely to have practical use for all but the simplest cases and I recall from another thread that the Prime doesn't provide enough support to CAS to let it fail gracefully.

Having said that, I've installed the XCAS desktop app and sqrt(1+i) crashes it. I'm not sure if this is a bug or user error.

Getting intrigued, I tried it on my HP-50g. sqrt(1+i) works, sqrt(sqrt(1+i)) crashes it hard. My ancient TI-92Plus on the other hand just keeps chugging along when nesting sqrt functions; I got bored after eight...

Hi,

on a HP71B the result for sqr(sqr(1+j)): 1,06955393236 +0,212747504726j No problem with the ancient calculator :-) interesting, that ist could be a problem on the newer one - or I misunderstand the question