Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
How many natural numbers \(n\) are there such that\[\sqrt{n+\sqrt{n+\sqrt{n+\sqrt{n+...}}}}\]is natuaral too.
 one year ago
 one year ago
How many natural numbers \(n\) are there such that\[\sqrt{n+\sqrt{n+\sqrt{n+\sqrt{n+...}}}}\]is natuaral too.
 one year ago
 one year ago

This Question is Closed

mukushlaBest ResponseYou've already chosen the best response.2
n=2,6 gives 2 and 3 ,... ??? are there more numbers?
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.3
dw:1347788157019:dw then, a^2=n+a
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.3
Now, a and n has to be natural too
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.0
but that's the value of the total equation @sauravshakya :(
 one year ago

mukushlaBest ResponseYou've already chosen the best response.2
n is natuaral... a has to be natural :)
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.3
Ya.......... thinking on it...... I think it will lead to solution
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.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.
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.3
If a=2 then n=2, If a=3 then n=6...
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.3
infinite solutions
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.3
If a=4 then n=12, If a=5 then n=20 ...
 one year ago
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
 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.