A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

How to simplify this? \( \frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1}\)

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

    It is suppose to be How to simplify this? \( \frac{-\sqrt{3} - 1}{1+(-\sqrt{3})*1}\)

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

    3 11 11 3

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

    HUH? the answer is \( 2+ \sqrt{3}\) but how did they get it?

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

    First simplify the denominator.

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

    How?

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

    \(\sf\Large 1+ (-\sqrt{3})\times 1\) Anything times 1 is 1 and when you add a negative number you are basically subtracting it. Make sure to follow PEMDAS

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

    So I need to How to simplify this? \( \frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1} \frac{1+(-\sqrt{3}*1}{1+(-\sqrt{3}*1}\)

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

    We are getting to that, first we need to simplify the denominator :)

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

    So \[ \frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1} \frac{1+(-\sqrt{3})}{1+(-\sqrt{3})} \]

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

    \[ \frac{-\sqrt{3} - 1}{1+(-\sqrt{3}} * \frac{1+(-\sqrt{3})}{1+(-\sqrt{3})} \]

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

    yes, however: \(\sf 1+(-\sqrt{3})=1-\sqrt{3}\)

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

    and then we have to multiply the numerator and denominator by the conjugate of \(\sf1-\sqrt{3}\)

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

    Do we use foil to times \[ (-\sqrt{3}-1)(1-\sqrt{3}) \]

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

    yes

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

    I got 2 for the numerator is this correct?

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

    I fail to see how you got that... |dw:1433890581827:dw|

  17. 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.