What is the complex conjugate of #1 + sqrt( -50)#?

1 Answer
mason m
Dec 8, 2015

#1-(5sqrt2)i#

Explanation:

To find a complex conjugate, simply change the sign of the imaginary part (the part with the #i#). This means that it either goes from positive to negative or from negative to positive.

As a general rule, the complex conjugate of #a+bi# is #a-bi#.

Your expression, #1+sqrt(-50)#, does not appear to be in the #a+bi# form of a complex number at first glance. However, #sqrt(-50)=(5sqrt2)i#.

Thus, the complex conjugate of #1+(5sqrt2)i# is #1-(5sqrt2)i#.

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