(-1)^(1/4)?



Raymond Toy <toy@rtp.ericsson.se> writes:

> Yes, but then I'd have to ask why
> 
> sqrt(-1) is %i and not (-1)^(1/2)

Then ask it; I think it's a good question.

My attempt at an answer would be that, by convention, i is often
considered to be *the* square root of -1.  Since in some sense i is
the basic complex number (the others are written in terms of i),
it doesn't make any difference whether you choose i or -i for
sqrt(-1), as long as you're consistent.

But then I've put very little thought into it.

Jay