Use all and only the digits $2,0,1,8$ once each to make the number $71$.
Allowed operations; anything not on this list is banned:
$+,-,\times,\div, ()$ (parentheses and/or choose function)
Concatenation; only applied to the original digits e.g $(8-1)||(2-0!)$ is not allowed
$!$ single factorial (none of that double factorial + weird stuff otherwise you could do something like $12!!!!!!=12\times6$ and that's a bit cheat)
Exponentiation, although the exponent must be 'made' as well
Sqrt (free of cost); nth roots however require you to be able to make the number 'n'
Decimal point: like concatenation, this can only be applied to the original digits. Sorry to those who attempted this before -- unlike in some questions, I'm requiring that any decimal point needs an integer part before it (wikipedia: ..used to separate the integer part from the fractional part of a number)
Sorry I know PSE is being plagued with these but I couldn't resist.