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What is the 2013th digit after the decimal point in 10402413\displaystyle \sqrt{\frac{\sqrt{10^{4024}-1}}{3}}?

or maybe it was meant to be 10402413\displaystyle \frac{\sqrt{10^{4024}-1}}{3}?

Source: http://mathhelpforum.com/pre-calculus/211535-find-2013th-digit-after-decimal-point-expression.html


I know some of you can't resist a little challenge.
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not fun

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