Examine the fraction 3+2i /4−2i. Which expression is the first step to simplify the fraction?

Answer 1

The conjugate of the denominator uses the same terms, but opposite sign. Since the operation in the denominator is subtraction, your conjugate would be addition. You would need to multiply the top and bottom by 4+2i in order to simplify.

Answer 2

Multiply the numerator and the denominator by the conjugate of the denominator.