How do you prove/extend the fundamental operations of algebra to the imaginary values?

  • Thread starter Thread starter CogitoErgoCogitoSum
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CogitoErgoCogitoSum

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Can we just *assume* that the number i can merely be substituted for an arbitrary constant? Distributive property, for example, is proven with constants having real values... but suppose that the distributive property no longer works with an imaginary value...
 
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