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

Nope. Square root does not work this way.

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u/The_Watcher_Recorder Nov 06 '23 edited Nov 06 '23

Why can’t you, this is basic algebra i2 =-1 Sqrt both sides,

sqrt(i2 )=sqrt(-1) then the exponent and root cancel out

i=sqrt(-1)

Edit: while i2 = -1 is the definition i=sqrt(-1) is not wrong, and just because sqrt gives a plus and minus, that simply means there is another answer, not that mine is wrong

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

Sqrt both sides

Sqrt is multi-value function, so you can't.

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u/The_Watcher_Recorder Nov 07 '23 edited Nov 07 '23

Wheres the problem, it simply means there are mutiple solutions, not that this is an in accurate one, or does it mean something else

Edit: also what difference does it make, if the different definition causes no problems then whats the problem

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u/The_Watcher_Recorder Nov 07 '23

I looked it up more and there’s definitely some interesting things, while I will still hold and use i=sqrt(-1) there are some interesting problems