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Root of a negative number

Roots from negative numbers should be reduced to arithmetic roots before calculation.



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

where a and b are positive numbers.


Example 1

The result of the calculation

gives a negative number, what you probably did not expect. So it is not



Example 2

The calculation


is wrong. The property

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


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