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Root of a negative number

The root of a negative number must be reduced to an arithmetic root in order to calculate it, with



Negative numbers can be converted with the imaginary unit. You then eliminate the minus sign. In a multiplication you get

The calculation


is wrong. So is the next calculation


although the result is correct, but the operations are incorrect. The property

is valid only for mathematical roots. Algebraic roots must first be reduced to arithmetic roots.


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