A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

if x=sqrt(-3)/2 , find the value of sqrt(1+x)+sqrt(1-x)/sqrt(1+x)-sqrt(1-x)

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

    cant take the sqrt of neg num is it supposed to deal with complex num

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

    oh sorry, its written as x=sqrt(3)/2

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

    i made a mistake it simplifies to \[\frac{1+\sqrt{1-x^{2}}}{x}\] \[x=\frac{\sqrt{3}}{2}\] \[=\sqrt{3}\]

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

    could you please provide some info on how we get 1+sqrt(1-x^2)/x ?

  5. dumbcow
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    multiply by conjugate on top and bottom then combine like terms

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

    conjugate is sqrt(1+x) + sqrt(1-x)

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

    got till 1+x+1-x+2sqrt(1-x^2)/(1-x)+(1-x)

  8. 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.