Question

rationalize

Answer 1

\[\frac{ 4-4\sqrt{3}i }{ -2\sqrt{3}+2i }\]

Answer 2

multiply and divide by -2root3-2i

Answer 3

or take -2i common from numerator.
u get -2i(2i-2root 3) in numerator.
so what gets cancelled?

Answer 4

wait.. i'll try

Answer 5

is there something that can be cancelled?

Answer 6

see the factor in numerator and denominator!!

Answer 7

owh.. -2i will remain??and the factor will cancel out the denominator?

Answer 8

yup,-2i,got it ?

Answer 9

but i think its wrong? i thnk this should be what in the numerator is , -2i(2i+2root3),, am i right??

Answer 10

O.o

Answer 11

options?

Answer 12

and yes, u are right....

Answer 13

i dont know what to do next

Answer 14

multiply and divide by -2root3-2i

Answer 15

i hate it when that "i" is in my solution .. :D i'll try solving it

Answer 16

the denominator will be 8? but i have a difficulty in solving the numerator :((

Answer 17

8 ?? or -16 ?

Answer 18

my bad.. i believe the numerator should be 18?? 12-4i^2 = 12-4(-1) = 12+4= 16?

Answer 19

i mean the DENOMINATOR

Answer 20

*minus*

Answer 21

y negative?

Answer 22

\[(-2\sqrt{3}+2i)(-2\sqrt{3}-2i) = (-2\sqrt{3})^{2}-4i ^{2}=12-4(-1)=16\]

Answer 23

my bad, sorry,i took - common from that....ok,so 16
numerator = ?

Answer 24

and what are your options ?

Answer 25

my final answer is -root3 - i

Answer 26

if i simplified my numerator, -16root3 - 16i
and divide that by 16
-root3 -i
is my answer correct?

Answer 27

hmm....its my silly mistake's day or i m getting i-root3

Answer 28

owh @_@

Answer 29

i'll try solving it again

Answer 30

owh you're right!! hahaha... i had a mistake with my subtraction, 24i-8i should be 16i and not -16i.. thanks ! :))

Answer 31

finally!
welcome :)

Answer 32

it's not your silly mistake day :))

Answer 33

glad to know :)

Answer 34

how long have you've been in this site?

Answer 35

48 days around.....

Answer 36

owh.. i just made my account yesterday :3
brb.. i'll just go out and eat first and then back in reviewing :))
i have my finals tomorrow for algebra and trigonometry

Answer 37

best of luck.