Question

Please help! how do you rationalize 4/7+3i??

Answer 1

4 / (7 + 3i) =
(4(7 - 3i)) / ((7 + 3i)(7 - 3i)) =
(28 - 12i) / (7^2 + 21i - 21i - 9i^2) =
(28 - 12i) / (49 - 9(-1)) =
(28 - 12i) / (49 + 9) =
(28 - 12i) / 58 =
(14 - 6i) / 29

Answer 2

You're a life saver, thanks.
I have one more, could you help?

Answer 3

um...sure

Answer 4

thanks, okay simply and change to radical form- (x^2/5)^3/4

Answer 5

I got x^6/500...my teacher said I was wrong :/