sequence of n-times the null in decimal digits of sqrt(2)

[Guest]

Hey there!
I got the following problem:


Proof that a sequence of n times the null (so like 00...0) ist only possible at the n-th place or later of the decimal digits of sqrt(2).


I really dont know how to solve this, I tried a lot but nothing resulted in anything good. So I hope you can help me.

Thank you very much!!!

[Guest]

Do you have any reason to believe it is true?