Question

Rationalize the denominator of 9/3 + 2i

Answer 1

mult top and bottom by the complex conjugate (3-2i)

Answer 2

ok

Answer 3

what do I do next

Answer 4

what did you get?

Answer 5

27 + 18i/5

Answer 6

over 5?

Answer 7

yea

Answer 8

9/(3+2i)
=9*(3-2i)/(3+2i)*(3-2i)
=9*(3-2i)/(9+4)
=9*(3-2i)/11

Answer 9

\[\frac{ 9 }{ 3 + 2i }\times \frac{ 3 - 2i }{ 3 - 2i }=\frac{ 27 - 18i }{ 9 + 4 }\]

Answer 10

I see I made a mistake

Answer 11

thank you

Answer 12

no worries, keep that trick in your bag... it'll come in handy on occasion.