Find the 2013th digit after the decimal point in the expression of...

Let
Find the digit after the decimal point in the expression of \sqrt{m}



It seems a similar problem.
xkcd • View topic - math problem - driving me crazy
But I don't think so. I can't write m to a,b,n is integer numbers

Quote:

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Originally Posted by coriander

Let
Find the digit after the decimal point in the expression of \sqrt{m}
It seems a similar problem.
xkcd • View topic - math problem - driving me crazy
But I don't think so. I can't write m to a,b,n is integer numbers

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Do you know the binomial series?

Write

BTW
When writing an exponent with ore than one character in LaTeX use {} on the exponent.
[tex]10^{4024}[/tex] gives .

Can you show me more detail?

Quote:

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Originally Posted by coriander

Can you show me more detail?

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No, I am not going to do that. It is too darn messy.
You can look up binomial series.

You might want to specifically look up the generalised binomial series since this has a fractional exponent. It's about 2/3 of the way down this page:
Binomial theorem - Wikipedia, the free encyclopedia