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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