*Problem #14*

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There is a considerable area of research on questions about the pattern
of digits in the decimal representation of numbers. For instance, it is
believed (but no one has proved) that every possible finite sequence of
digits occurs in the decimal expansion of the square root of 2 (or any
other irrational square root). Somewhere in the decimal expansion of the
square root of 2, the sequence 11111 should occur, the sequence
111111111 should occur, and the sequence 123456789 should occur.

This month we ask a related question: find three integers such that in
the decimal representations of the *square root* of those integers,
the digits to the immediate right of the decimal point are (respectively)
- 11111
- 1111111111
- 123456789