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Spartan_Of_Ares Group Title

can i get help with rational expression

  • one year ago
  • one year ago

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  1. Spartan_Of_Ares Group Title
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    here it is

    • one year ago
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  2. mathstudent55 Group Title
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    You mean a rational expression.

    • one year ago
  3. mathstudent55 Group Title
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    A simplified rational fraction can't have radicals in the denominator.

    • one year ago
  4. mathstudent55 Group Title
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    |dw:1356657899257:dw|

    • one year ago
  5. Spartan_Of_Ares Group Title
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    cross multiplication?

    • one year ago
  6. mathstudent55 Group Title
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    Now you need to look at all prime factors of 98 and twelve.

    • one year ago
  7. mathstudent55 Group Title
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    No, we're just simplifying, one step at a time.

    • one year ago
  8. mathstudent55 Group Title
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    What are the prime factors of 98 and of 12?

    • one year ago
  9. Spartan_Of_Ares Group Title
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    7 7 2 and 3 2 2

    • one year ago
  10. mathstudent55 Group Title
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    Great. Every two of the same factor can be taken out of the root.

    • one year ago
  11. Spartan_Of_Ares Group Title
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    so 7 2 and 3 2

    • one year ago
  12. mathstudent55 Group Title
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    |dw:1356658078286:dw|

    • one year ago
  13. mathstudent55 Group Title
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    |dw:1356658116825:dw|

    • one year ago
  14. mathstudent55 Group Title
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    As you mentioned, the 7 came out in the numerator, and the 2 came out in the denominator. But we still have a radical in the denominator which we can't leave there.

    • one year ago
  15. Spartan_Of_Ares Group Title
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    what would i do to remove it?

    • one year ago
  16. mathstudent55 Group Title
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    |dw:1356658236596:dw|

    • one year ago
  17. mathstudent55 Group Title
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    We are going to use both of the above ideas to remove the radical from the denominator. First look at the denominator. What do you need to multiply the radical of the denominator to get rid of the radical? See example 1 above in drawing.

    • one year ago
  18. Spartan_Of_Ares Group Title
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    @mathstudent55 times it self?

    • one year ago
  19. mathstudent55 Group Title
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    Right. If you multiply sqrt(3) by sqrt(3), you get sqrt(9) = 3, so you don't have a radical any more.

    • one year ago
  20. Spartan_Of_Ares Group Title
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    so my denominator would be 18?

    • one year ago
  21. mathstudent55 Group Title
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    Now you need to look at example 2. in the drawing. If you multiply the denominator of the fraction by sqrt(3) what must you do to the numerator?

    • one year ago
  22. Spartan_Of_Ares Group Title
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    multiply by the same

    • one year ago
  23. mathstudent55 Group Title
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    Exactly. So now look at the next drawing:

    • one year ago
  24. mathstudent55 Group Title
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    |dw:1356658755142:dw|

    • one year ago
  25. mathstudent55 Group Title
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    sqrt(9) is simply a whole number. That was the whole purpose of multiplying the denominator by sqrt(3)

    • one year ago
  26. Spartan_Of_Ares Group Title
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    wait what do you mean do i just get\[18\] as my denominator?

    • one year ago
  27. mathstudent55 Group Title
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    You have 2 * sqrt(9) in the denominator. What is sqrt(9)?

    • one year ago
  28. Spartan_Of_Ares Group Title
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    3

    • one year ago
  29. mathstudent55 Group Title
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    Right. So now you have this: |dw:1356658960784:dw|

    • one year ago
  30. mathstudent55 Group Title
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    One more step.

    • one year ago
  31. Spartan_Of_Ares Group Title
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    6 is the denominator

    • one year ago
  32. mathstudent55 Group Title
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    Correct!

    • one year ago
  33. mathstudent55 Group Title
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    |dw:1356659058827:dw|

    • one year ago
  34. mathstudent55 Group Title
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    This is considered simplified.

    • one year ago
  35. Spartan_Of_Ares Group Title
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    thank you for the help

    • one year ago
  36. mathstudent55 Group Title
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    You're welcome.

    • one year ago
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