Oct 02, 2005 00:04
(Found on some web page)
Let -1/1 = 1/-1. (because it does)
take the square root of both sides. Just so you know, the square root of -1 is traditionally represented with the letter i.
sqrt(-1/1) = sqrt(1/-1)
Distribute the square root to both the numerator and denominator.
sqrt(-1)/sqrt(1) = sqrt(1)/sqrt(-1)
i.e. i/1 = 1/i
Multiply both sides by sqrt(-1) (by i)
i^2 /1 = i/i
So i^2 = 1.
And since i = sqrt(-1), i^2 = -1.
Therefore -1 = 1!!!
Trippy...