Are Irrational Square Roots Normal?

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Open Question

It is not known whether irrational square roots are normal.


It has been established by testing the distribution of the digits of the square roots of the integers $2$ to $15$, excluding $4$ and $9$, in bases $2$, $4$, $8$ and $16$, that they may well be normal.


Beyer is mistakenly reported as Beyler in David Wells: Curious and Interesting Numbers.