But, for the record, the positive square root of the square of a quantity is equal to the absolute value of the quantity; it is not equal to the quantity with its original sign. That is,
√[ x2 ] = |x| .
Hence, since
√[ (-1)2 ] = |-1| = 1
and
√[ (1)2 ] = |1| = 1 ,
there's no contradiction.
Shame on you, g_w, for giving KP a headache!
Tee hee.
It was a jest.
(I saw it on in a T-shirt catalog once, next to the "Reunite Gondwanaland" and "If you're not part of the solution, you're part of the precipitate".)
Cheers!
...and BTW, great job on the radical signs in HTML in your post.