Question

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

Answer 1

`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`.