SOLUTION: Multiply the square root of -13 by its complex conjugate.

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Question 216580: Multiply the square root of -13 by its complex conjugate.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28-13%29=i%2Asqrt%2813%29=0%2Bi%2Asqrt%2813%29


The complex conjugate of any complex number a%2Bbi is a-bi. In this case, a%2Bbi=0%2Bi%2Asqrt%2813%29 which means that the conjugate is a-bi=0-i%2Asqrt%2813%29 which can be written as -sqrt%28-13%29


Now multiply the two values to get:


So the product of the two values is 13.