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gfields444

How would i rationalize 6/ 3+i

  • one year ago
  • one year ago

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  1. Outkast3r09
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    multiply by the conjugate

    • one year ago
  2. Outkast3r09
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    multiply by 1 using the conjugate*

    • one year ago
  3. estudier
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    * top n bottom by 3-i

    • one year ago
  4. gfields444
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    So 9i?

    • one year ago
  5. estudier
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    6(3-i) / (3+i)(3-i)

    • one year ago
  6. gfields444
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    Is that all that I have to do? I'm not really sure how to do these sorts of problems

    • one year ago
  7. estudier
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    You need to multiply out the brackets and simplify if possible

    • one year ago
  8. estudier
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    Just like normal except you have i's to deal with...

    • one year ago
  9. gfields444
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    6(3-i)? Wouldn't the bottom cancel itself out?

    • one year ago
  10. estudier
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    It is a kind of trick to get rid of the i on the bottom.....

    • one year ago
  11. estudier
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    Similar to how you get rid of a rdical, same sort of idea...

    • one year ago
  12. gfields444
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    So confused

    • one year ago
  13. estudier
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    Multiply it out and you will see...

    • one year ago
  14. gfields444
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    9-i/9

    • one year ago
  15. gfields444
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    which you could divide 9 by 9 to get one, so -i?

    • one year ago
  16. estudier
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    6(3-i) is 18-6i Where do you get 9-i from?

    • one year ago
  17. gfields444
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    Oh wow opps. haha I added.

    • one year ago
  18. estudier
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    Ok, now what do you get for the bottom?

    • one year ago
  19. gfields444
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    9?

    • one year ago
  20. estudier
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    You have (3+i)(3-i) Tell me how it comes to 9

    • one year ago
  21. gfields444
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    You multiply and the +i and -i cancel out? i'm really sorry, this is new to me haha

    • one year ago
  22. estudier
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    (3+i)(3-i) is 3*3 + 3*i -3*i - i^2 (using FOIL?)

    • one year ago
  23. estudier
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    So the 3i's cancel out and leave 9-i^2 So what is i^2 ?

    • one year ago
  24. gfields444
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    -1

    • one year ago
  25. estudier
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    Right, so what is the bottom ( hint-it is not 9)

    • one year ago
  26. gfields444
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    8?

    • one year ago
  27. estudier
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    9-(-1)

    • one year ago
  28. gfields444
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    10

    • one year ago
  29. estudier
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    Ok so finally you have 18-6i/10 which you can divide by 2 to get 9-3i/5 as a final answer.

    • one year ago
  30. estudier
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    So, procedure for these is *by conjugate top and bottom then simplify

    • one year ago
  31. gfields444
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    thank you so much!!!

    • one year ago
  32. estudier
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    ur welcome

    • one year ago
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