A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

rationalize the denominator and simplify (2√7+3)/(√7+2)

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    When you want to rationalize the denominator you want to multiply it by the numerator and denominator by the conjugate \[\sqrt{7}-2\]

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ (2\sqrt{7}+3 )}{ (\sqrt{7}+2 )} \times \frac{ \sqrt{7}-2 }{ \sqrt{7}-2 }\]

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    why is it negative? shouldnt it be positive 2?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh opps just kidding the bottom cancels out

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    To rationalize we use the conjugate which simply means we change the sign so notice how we want to rationalize the denominator so we multiply the top and bottom by sqrt(7)-2 we change the + to - this way we can get an expression as such \[a^2-b^2\]

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah!

  7. UsukiDoll
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    "When you want to rationalize the denominator you want to multiply it by the numerator and denominator by the conjugate " signs need to be switched.. since you have a + on the denominator we have to multiply by sqrt{7}-2

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ahaha I understand now! thank you both!

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.