YBC 7289 is just beautiful.
The square root of two to the equivalent of _six_ decimal digits _by itself_¹ on a Babylonian clay tablet from the first half of the Second Millennium.
_________
¹ Most Mesopotamian clay tablets are completely filled with text, no margins.
The value as a 32-bit floating-point number is (printed as) 1.4142135,
i.e. it is accurate up to its precision.
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I was very lucky to see it up close once.