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Root of a negative number

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

 


Explanation

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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