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

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

Quote:

Originally Posted by

**coriander**

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 .

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

Can you show me more detail?

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

Quote:

Originally Posted by

**coriander** Can you show me more detail?

No, I am not going to do that. It is too darn messy.

You can look up binomial series.

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

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