Is square root a function in this way?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f:\mathbb C\rightarrow\mathbb R^+[/tex]

However contradiction can be drawn:

[tex]\sqrt{x^2}=|x|\text{ and } i^2=-1[/tex]

[tex]\sqrt{-1}=\sqrt{i^2}=|i|=1[/tex]

[tex]\sqrt{-1}=1[/tex] ??

What is the problem in the definition or the deduction?

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# Meaning of the square root and its contradiction

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