A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Jamierox4ev3r

  • one year ago

Math Review Day 3! 6e. Rationalize the expression and simplify.

  • This Question is Closed
  1. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Let me re-type the question 6e. Rationalize the expression and simplify \(\huge\frac{\sqrt{4+h}-2}{h}\)

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

    Is this root just for 4? Or h also?

  3. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the root is \(\sqrt{4+h}\) @joyraheb

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

    i guess multiply the numerator and the denominator by the `conjugate` of the numerator

  5. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I do believe that the first step would be to multiply the whole expression by the conjugate of the numerator. So I assume that it would look a little like this: \(\huge\frac{\sqrt{4+h}-2}{h}\times\huge\frac{\sqrt{4+h}+2}{\sqrt{4+h}+2}\)

  6. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    LOL you read my mind XD There is a lot of multiplying of conjugates in Algebra. A common trend that I recall

  7. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If you multiply these, you should get \(\huge\frac{(4+h)-4}{h(\sqrt{4+h}+2}\) right?

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

    yes right!

  9. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes! oops wait i think a parentheses is missing in in the denominator \(\huge\frac{(4+h)-4}{h(\sqrt{4+h})+2}\)

  10. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    anyhow, from here I'm a little stuck. I know the in the numerator, 4 and -4 cancel out, so you're left with h...but what happens in the denominator?

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

    yes right \(\huge\rm \frac{\color{reD}{4}+h\color{reD}{-4}}{h(\sqrt{4+h}+2)}\)\[\rm \frac{ h }{ h(\sqrt{4+h}+2)}\] can you cancel out anything ?

  12. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh wait! i see. So i mentioned canceling out in the numerator, but it seems like something in the numerator and denominator can be cancelled out \(\huge\rm \frac{\color{reD}{4}+\color{green}h\color{reD}{-4}}{\color{green}h(\sqrt{4+h}+2)}\) The things in green become 1, so wouldn't you have this: \(\huge\frac{1}{\sqrt{4+h}+2}\)

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

    parentheses should be aftr 2 cuz it's one expression (sqrt{4+h}+2)

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

    that's right!

  15. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh true, whoops XD and ty ;-;

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

    np don't cry:(

  17. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah i put the parentheses in the wrong place earlier. my bad hehe I'm fine. From there, am I done?

  18. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    is that the final answer?

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

    btw do you have the answer ? just want to know cuz most of times we r not allowed to leave the square root at the denominator

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

    yes i think so we can't do anything else with that exprssion

  21. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hmmm lemme check online. The textbook doesn't have the answers in it, but the textbook's website has them. Brb

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

    oh cool

  23. Jamierox4ev3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yep that's it. Thank you thank you! XD

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

    my pleasure

  25. 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.