Question

A fraction has a denominator of 3 + 4i. What is multiplied with the fraction to rationalize the fraction?

Answer 1

To get a real number out of an imaginary number, you multiply by its conjugate. The conjugate of a+bi is a-bi, so the conjugate of 3+4i is 3-4i. So, you multiply by \[\frac{3-4i}{3-4i}\] to rationalize it.

Answer 2

good job

Answer 3

Thanks!