anonymous
  • anonymous
how do i simplify this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1327878261557:dw|
amistre64
  • amistre64
conjugates i beleive
Mertsj
  • Mertsj
Numerator is 8i Denominator is 5-4i

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More answers

Mertsj
  • Mertsj
Multiply numerator and denominator by 5+4i
amistre64
  • amistre64
combine like terms under and the multiply it all by the conjugate of your denominator
amistre64
  • amistre64
or stop anywhere along the way that your homework/text defines as simple enough
anonymous
  • anonymous
i dont know how to do it, thats the problem
amistre64
  • amistre64
which part, the multiply or the add?
amistre64
  • amistre64
to combine like terms, just consider the "i" like any other variable
amistre64
  • amistre64
7-6i -2 + 2i = 5 - 4i
anonymous
  • anonymous
are you saying 5-4i is the answer?
amistre64
  • amistre64
the conjugate thing might be overkill, since its hard to determine what is meant by "simplify"
amistre64
  • amistre64
..... no, the denominator of a fraction is never "the answer" to an entire problem
amistre64
  • amistre64
forgot the original problem :) \[\frac{\sqrt{-64}}{5-4i}\]
amistre64
  • amistre64
the top simplifies to 8i since:\[\sqrt{-64}=\sqrt{64*-1}=\sqrt{64}\sqrt{-1}=8i\]
anonymous
  • anonymous
these are my options
amistre64
  • amistre64
then its a conjugate thing im sure :) \[\frac{8i}{5-4i}*\frac{5+4i}{5+4i}=\frac{40i+32i^2}{25-16i^2}=\frac{40i-32}{25+16}\]
amistre64
  • amistre64
looks like it might shape up to the last one
anonymous
  • anonymous
are you sure?
amistre64
  • amistre64
well, from what ive written so far, im prettu sure -32 is -32; +40i is +40i; amd 25+16 is 41 ... so putting this altogether I tend to be leaning towards the last one since it fits all the parts :)
amistre64
  • amistre64
typos not withstanding :)
anonymous
  • anonymous
lol thank you !
amistre64
  • amistre64
good luck, conjugates and is tend to not come up alot, so you have a tendency to forget about them
anonymous
  • anonymous
yeah i've neverseen them until right now

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