Question

What is an equivalent form of
3
-----
4-2i

Answer 1

I think you need to multiply top and bottom by 4+2i

Answer 2

oh ok

Answer 3

u have it from there?

Answer 4

doesn't it cancel?

Answer 5

it doesn't

Answer 6

use i^2 = -1

Answer 7

oohh ok

Answer 8

multiplying by the conjugate doesn't necessarily cancel unless there is something to cancel.

Answer 9

hmmm

Answer 10

3/(4-2i) = (12 + 6i)/ (16 +4i^2)

Answer 11

i^2=-1

Answer 12

i see, so i becomes -1 regardless. and the answer is that equation?

Answer 13

put in -1 for i^2 and simplify the denominator

Answer 14

because it doesn't tell me to solve it

Answer 15

ok i get it

Answer 16

(12+6i)/)(16-4)

Answer 17

-18/12

Answer 18

?

Answer 19

It is the same as though you are using normal variables, just recall that i^2=-1 in your final answer

Answer 20

Ok thank you!!

Answer 21

no the numorator has just i in it, you have to leave that alone

Answer 22

(12+6i)/12

Answer 23

now you can factor a 6 out of top and bottom

Answer 24

[6(2+i)] / (6*2)

cancel the 6's

Answer 25

(2+i) / 2

Answer 26

wow, you are awesome thank you

Answer 27

np, anytime