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imaginary unit

Synonym: 
i
Type of Math Object: 
Definition
Major Section: 
Reference

Mathematics Subject Classification

12D99 no label found

Comments

I would rather say something like:

We define "i" to be a root of f(X)=X^2-1=0. With this choice, the polynomial f has two roots, namely i and -i.

But I guess the entry is fine as it is.

Alvaro

sqrt(-1)sqrt(-1)=sqrt((-1)(-1))=sqrt(1)=1
sqrt(-1)sqrt(-1)=i.i=-1
What do you think?

Well, sqrt(ab)= sqrt(a)sqrt(b) is only valid for a,b>0?

Of course not.

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