anonymous
  • anonymous
rationalize
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\frac{ 4-4\sqrt{3}i }{ -2\sqrt{3}+2i }\]
hartnn
  • hartnn
multiply and divide by -2root3-2i
hartnn
  • hartnn
or take -2i common from numerator. u get -2i(2i-2root 3) in numerator. so what gets cancelled?

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More answers

anonymous
  • anonymous
wait.. i'll try
anonymous
  • anonymous
is there something that can be cancelled?
hartnn
  • hartnn
see the factor in numerator and denominator!!
anonymous
  • anonymous
owh.. -2i will remain??and the factor will cancel out the denominator?
hartnn
  • hartnn
yup,-2i,got it ?
anonymous
  • anonymous
but i think its wrong? i thnk this should be what in the numerator is , -2i(2i+2root3),, am i right??
hartnn
  • hartnn
O.o
hartnn
  • hartnn
options?
hartnn
  • hartnn
and yes, u are right....
anonymous
  • anonymous
i dont know what to do next
hartnn
  • hartnn
multiply and divide by -2root3-2i
anonymous
  • anonymous
i hate it when that "i" is in my solution .. :D i'll try solving it
anonymous
  • anonymous
the denominator will be 8? but i have a difficulty in solving the numerator :((
hartnn
  • hartnn
8 ?? or -16 ?
anonymous
  • anonymous
my bad.. i believe the numerator should be 18?? 12-4i^2 = 12-4(-1) = 12+4= 16?
anonymous
  • anonymous
i mean the DENOMINATOR
hartnn
  • hartnn
*minus*
anonymous
  • anonymous
y negative?
anonymous
  • anonymous
\[(-2\sqrt{3}+2i)(-2\sqrt{3}-2i) = (-2\sqrt{3})^{2}-4i ^{2}=12-4(-1)=16\]
hartnn
  • hartnn
my bad, sorry,i took - common from that....ok,so 16 numerator = ?
hartnn
  • hartnn
and what are your options ?
anonymous
  • anonymous
my final answer is -root3 - i
anonymous
  • anonymous
if i simplified my numerator, -16root3 - 16i and divide that by 16 -root3 -i is my answer correct?
hartnn
  • hartnn
hmm....its my silly mistake's day or i m getting i-root3
anonymous
  • anonymous
owh @_@
anonymous
  • anonymous
i'll try solving it again
anonymous
  • anonymous
owh you're right!! hahaha... i had a mistake with my subtraction, 24i-8i should be 16i and not -16i.. thanks ! :))
hartnn
  • hartnn
finally! welcome :)
anonymous
  • anonymous
it's not your silly mistake day :))
hartnn
  • hartnn
glad to know :)
anonymous
  • anonymous
how long have you've been in this site?
hartnn
  • hartnn
48 days around.....
anonymous
  • anonymous
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
hartnn
  • hartnn
best of luck.

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