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→Unique square root of -1 necessary for complex analysis
::: Why do you say "assumes"? All of those properties are provable from either of the above two definitions of the complex numbers. [[User:RSchlafly|RSchlafly]] 12:20, 8 April 2012 (EDT)
::: Why do you say "assumes"? All of those properties are provable from either of the above two definitions of the complex numbers. [[User:RSchlafly|RSchlafly]] 12:20, 8 April 2012 (EDT)
:::Really, that one is obvious: x²+1=0 ⇒ x³ = x(x²+1-1)=x(-1)=-x No further assumptions are needed, only basic algebra.... [[User:AugustO|AugustO]] 13:05, 8 April 2012 (EDT)