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Stupid and funny from all over the world - II

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@500

The imaginary unit is sometimes written √−1 in advanced mathematics contexts (as well as in less advanced popular texts). However, great care needs to be taken when manipulating formulas involving radicals. The notation is reserved either for the principal square root function, which is only defined for real x ≥ 0, or for the principal branch of the complex square root function. Attempting to apply the calculation rules of the principal (real) square root function to manipulate the principal branch of the complex square root function will produce false results:

61c2bcce85a16502528113895ba70225.png
(incorrect)

Attempting to correct the calculation by specifying both the positive and negative roots only produces ambiguous results:

1a94c993ed193b01378224b918d67dba.png
(Ambiguous)

Similarly:

929c3d488c6c234535dc17b7c7376098.png
(Incorrect)

The calculation rules

2ad8f61aeef522ac90f3b38b58c2ff95.png


and

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are only valid for real, non-negative values of a and b.
 
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I don't how to argue with a fool who does not know iota of complex numbers still arguing like a Einstein or Ramanujam. I simply don't know. PLZ some one help me.

P.S. Earlier I have very high regard of Israelis in knowledge area but it looks like every country has it's own share of fools.
Sir in complexe i²=-1 not 1 :)
You are right, I wrote in hurry. Though its matter of definition again. While elliptic imaginary number have square equal to -1, hyperbolic imaginary numbers have square equal to +1.
 
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