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anonymous

  • 4 years ago

how do i simplify this?

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  1. anonymous
    • 4 years ago
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    |dw:1327878261557:dw|

  2. amistre64
    • 4 years ago
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    conjugates i beleive

  3. Mertsj
    • 4 years ago
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    Numerator is 8i Denominator is 5-4i

  4. Mertsj
    • 4 years ago
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    Multiply numerator and denominator by 5+4i

  5. amistre64
    • 4 years ago
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    combine like terms under and the multiply it all by the conjugate of your denominator

  6. amistre64
    • 4 years ago
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    or stop anywhere along the way that your homework/text defines as simple enough

  7. anonymous
    • 4 years ago
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    i dont know how to do it, thats the problem

  8. amistre64
    • 4 years ago
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    which part, the multiply or the add?

  9. amistre64
    • 4 years ago
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    to combine like terms, just consider the "i" like any other variable

  10. amistre64
    • 4 years ago
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    7-6i -2 + 2i = 5 - 4i

  11. anonymous
    • 4 years ago
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    are you saying 5-4i is the answer?

  12. amistre64
    • 4 years ago
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    the conjugate thing might be overkill, since its hard to determine what is meant by "simplify"

  13. amistre64
    • 4 years ago
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    ..... no, the denominator of a fraction is never "the answer" to an entire problem

  14. amistre64
    • 4 years ago
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    forgot the original problem :) \[\frac{\sqrt{-64}}{5-4i}\]

  15. amistre64
    • 4 years ago
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    the top simplifies to 8i since:\[\sqrt{-64}=\sqrt{64*-1}=\sqrt{64}\sqrt{-1}=8i\]

  16. anonymous
    • 4 years ago
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    these are my options

  17. amistre64
    • 4 years ago
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    then its a conjugate thing im sure :) \[\frac{8i}{5-4i}*\frac{5+4i}{5+4i}=\frac{40i+32i^2}{25-16i^2}=\frac{40i-32}{25+16}\]

  18. amistre64
    • 4 years ago
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    looks like it might shape up to the last one

  19. anonymous
    • 4 years ago
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    are you sure?

  20. amistre64
    • 4 years ago
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    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 :)

  21. amistre64
    • 4 years ago
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    typos not withstanding :)

  22. anonymous
    • 4 years ago
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    lol thank you !

  23. amistre64
    • 4 years ago
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    good luck, conjugates and is tend to not come up alot, so you have a tendency to forget about them

  24. anonymous
    • 4 years ago
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    yeah i've neverseen them until right now

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