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Re: paradoxon? [message #11415] Tue, 07 April 1998 00:00
Thomas A. McGlynn is currently offline  Thomas A. McGlynn
Messages: 23
Registered: March 1996
Junior Member
Hein wrote:
>
> j=sqrt(-1)=sqrt(1/-1)=1/sqrt(-1)=1/j=-j
>
> Achim Hein
>
> Please answer by mail


Note that (-1)^2 = 1 so I could write analagously

-1=sqrt(1)=sqrt(1/1)=sqrt(1)/sqrt(1)=-1/-1=1

or some such sequence.

The paradox arises since you've taken square roots
on both sides of an equation. When you take the
root you have two possibilities for the answer and
if you don't pick them correctly you can get
nonsense.

Yours,
Tom McGlynn
tam@silk.gsfc.nasa.gov

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