Question

Help rationalizing the denominator of..

Answer 1

1st, simplify that denominator
(7 - 3i) + (2 + 5i)
9 + 2i

Answer 2

So now we have sqrroot(-4) / 9 + 2i
Do you know what to do now?

Answer 3

divide the square root of of -4 by 9+2i?

Answer 4

You want to multiply by the conjugate of 9 + 2i, which is 9 - 2i
\[\frac{ \sqrt{-4} }{ 9+2i }\times \frac{ 9-2i }{ 9-2i }\]

Answer 5

oh okay, i remember that part now, so how would I multiply square root of -4 by 9-2i

Answer 6

Actually sqrt(-4) should be written as 2i. You don't want the square root of a negative in your answer.
So the numerator will be
2i(9 - 2i)
18i + 4
4 + 18i

Answer 7

i have one more question about the numerator...can I ask please?