Question

Rationalize denominator:
4/3 + 5i

Actual steps please. <3

Answer 1

I know that you have to multiply the top and bottom by 3+5i and I got 12+20i/16+30i but I have idea where to go from there.

Answer 2

multiply by the conjugate

Answer 3

First, you must write what you mean. As it is written, you have \(\dfrac{4}{3} + 5i\) and the denominator is already rational.

\(\dfrac{4}{3+5i}\cdot\dfrac{3-5i}{3-5i} = \dfrac{12 - 20i}{3^{2} + 5^{2}}\). Remember that \(i^{2} = -1\)

Answer 4

It's actually 4/(3+5i)