Four Fours/85

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $85$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$85 = \paren {\dfrac 4 {. \dot 4} }^{\sqrt 4} + 4$

Solution $2$

$85 = \dfrac {4! + .4} {.4} + 4!$

Solution $3$

$85 = \paren {\dfrac {\map \Gamma 4} {\sqrt 4} }^4 + 4$

Also see

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