Proof that -1 = 1

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...
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