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

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

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

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

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

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

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

jiteshmeghwal9
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.3If a=2 then n=2, If a=3 then n=6...

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

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.3If a=4 then n=12, If a=5 then n=20 ...
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