/sci/ - Science & Math

[math]
\text{Let }N\text{ be the positive integer with 1998 decimal digits,}
\\
\text{all of them 1; that is,}
\\
\qquad \qquad \qquad \qquad N=1111\cdots 11.
\\
\text{Find the thousandth digit after the decimal point of }\sqrt N\text{.}
[/math]