Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mukushla Group Title

How many natural numbers \(n\) are there such that\[\sqrt{n+\sqrt{n+\sqrt{n+\sqrt{n+...}}}}\]is natuaral too.

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    p^2 - p - n =0

    • 2 years ago
  2. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    n=2,6 gives 2 and 3 ,... ??? are there more numbers?

    • 2 years ago
  3. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1347788157019:dw| then, a^2=n+a

    • 2 years ago
  4. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    Now, a and n has to be natural too

    • 2 years ago
  5. jiteshmeghwal9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    but that's the value of the total equation @sauravshakya :(

    • 2 years ago
  6. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    n is natuaral... a has to be natural :)

    • 2 years ago
  7. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    Ya.......... thinking on it...... I think it will lead to solution

    • 2 years ago
  8. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    n=a^2-a

    • 2 years ago
  9. jiteshmeghwal9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    that's it because if we right the equation as\[\sqrt{n+\sqrt{n+\sqrt{n.....}}}=x\]then we find the value of 'x' to get the answer & u did the same.

    • 2 years ago
  10. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    If a=2 then n=2, If a=3 then n=6...

    • 2 years ago
  11. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    infinite solutions

    • 2 years ago
  12. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    If a=4 then n=12, If a=5 then n=20 ...

    • 2 years ago
  13. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    right? @mukushla

    • 2 years ago
  14. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    right :)

    • 2 years ago
    • Attachments:

See more questions >>>

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.