Question

Please help i am so lost!
Simplify the expression The root of negative nine over the quantity of three minus two i plus the quantity of one plus five i. .

Answer 1

\[\frac{ \sqrt{-9} }{ 3-2i+(1+5i) }\]Is that it?

Answer 2

Yah

Answer 3

Except there was probably a set of parenthesis around the 3 - 2i, right?

Answer 4

Yah there are parenthesis

Answer 5

Ok, first deal with the numerator. You know that there is an "i" involved because you have a negative under the radical sign. What is the square root of 9?

Answer 6

3

Answer 7

And because of the - sign, it is 3i, right?

Answer 8

Yah that makes sense

Answer 9

You can rearrange the terms in the denominator to look like this:

Answer 10

\[\frac{ 3i }{ 3+1-2i+5i }\]

Answer 11

3+1 = 4 and 5i - 2i = 3i, so the new denominator looks like this:\[\frac{ 3i }{ 4+3i }\]

Answer 12

You can't get any simpler than that.

Answer 13

Wait a sec these are the answer choices

Answer 14

ok, then I know what i did wrong.

Answer 15

these are the other 3

Answer 16

I failed to notice that I should have multiplied by the conjugate of the denominator. Let me work on that and I will post. I gotcha!

Answer 17

Thank you so much!