What is the square root of i?
I know it's not i, as then i=-1 and 1=-1.
Brad
Try this approach: you know the answer
is a complex number of the form a+ib where a and b are real
numbers, so you want to solve (a+ib)2 =i. So you need
to solve a2 -b2 =0 and 2ab=1. This gives
the correct solution very quickly of
sqrt(i)=±(1+i)/sqrt(2). This method (which I discussed in
the thread "Imaginary
Numbers" ) usually works for questions like this.