A community for students.
Here's the question you clicked on:
 0 viewing
mukushla
 2 years ago
How many natural numbers \(n\) are there such that\[\sqrt{n+\sqrt{n+\sqrt{n+\sqrt{n+...}}}}\]is natuaral too.
mukushla
 2 years ago
How many natural numbers \(n\) are there such that\[\sqrt{n+\sqrt{n+\sqrt{n+\sqrt{n+...}}}}\]is natuaral too.

This Question is Closed

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.2n=2,6 gives 2 and 3 ,... ??? are there more numbers?

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1347788157019:dw then, a^2=n+a

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.3Now, a and n has to be natural too

jiteshmeghwal9
 2 years ago
Best ResponseYou've already chosen the best response.0but that's the value of the total equation @sauravshakya :(

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.2n is natuaral... a has to be natural :)

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.3Ya.......... thinking on it...... I think it will lead to solution

jiteshmeghwal9
 2 years ago
Best ResponseYou've already chosen the best response.0that'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.

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.3If a=2 then n=2, If a=3 then n=6...

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.3infinite solutions

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.3If a=4 then n=12, If a=5 then n=20 ...
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.