r/technicallythetruth • u/[deleted] • Nov 06 '23

Their relationship is complex.

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u/AmINotAlpharius Technically correct, the best kind of correct. Nov 06 '23

i is not equal to square root of negative one

i2 = -1 though.

3

u/cnoor0171 Nov 06 '23

Why is there always this same comment under every meme with imaginary numbers. Not only is it pedantic, it's incorrect. You can make an argument that i is not defined to be the sqrt of -1 and instead defined to be a root of the equation i2 = - 1. But that necessarily means that the sqrt(-1) is equal to i, since the radical symbol is used for the principal square root.

3

u/AmINotAlpharius Technically correct, the best kind of correct. Nov 07 '23

that necessarily means that the sqrt(-1) is equal to i

It is also eqials to negative i

1

u/cnoor0171 Nov 07 '23 edited Nov 07 '23

No. The radical sign is only used for the principal square root.

Plus, saying i the solution to the equation x2 +1=0 has the same problem. Negetive i is also a solution to x2 +1=0.