Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Spartan_Of_Ares

  • 2 years ago

can i get help with rational expression

  • This Question is Closed
  1. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    here it is

    1 Attachment
  2. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You mean a rational expression.

  3. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    A simplified rational fraction can't have radicals in the denominator.

  4. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1356657899257:dw|

  5. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    cross multiplication?

  6. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now you need to look at all prime factors of 98 and twelve.

  7. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No, we're just simplifying, one step at a time.

  8. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What are the prime factors of 98 and of 12?

  9. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    7 7 2 and 3 2 2

  10. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Great. Every two of the same factor can be taken out of the root.

  11. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so 7 2 and 3 2

  12. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1356658078286:dw|

  13. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1356658116825:dw|

  14. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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.

  15. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what would i do to remove it?

  16. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1356658236596:dw|

  17. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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.

  18. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @mathstudent55 times it self?

  19. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Right. If you multiply sqrt(3) by sqrt(3), you get sqrt(9) = 3, so you don't have a radical any more.

  20. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so my denominator would be 18?

  21. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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?

  22. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    multiply by the same

  23. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Exactly. So now look at the next drawing:

  24. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1356658755142:dw|

  25. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sqrt(9) is simply a whole number. That was the whole purpose of multiplying the denominator by sqrt(3)

  26. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait what do you mean do i just get\[18\] as my denominator?

  27. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You have 2 * sqrt(9) in the denominator. What is sqrt(9)?

  28. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3

  29. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Right. So now you have this: |dw:1356658960784:dw|

  30. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    One more step.

  31. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    6 is the denominator

  32. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Correct!

  33. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1356659058827:dw|

  34. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    This is considered simplified.

  35. Spartan_Of_Ares
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you for the help

  36. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You're welcome.

  37. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.