Mathematical niggles.

The numbers i, Π & e are special, with i being special in an awkward way.

Since it can be shown that i² equals both 1 and -1, a contradiction that is swept under the carpet for fear of a reprisel from the universe.

Recall that i is useful notation for shortening the written representation of imaginary numbers, it is defined as √-1.

Since i² = (√-1)² = √-1 × √-1 =  √(-1 ×-1) = 1

But,

i² is  (√-1)²  and because squaring a root ( i.e  (√A)² = A ) effectively cancels the operation out … we end up with -1.

A which point there’s usually a bit of shoulder shrugging and scuffling away.

 

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