Four Fours/57/Solutions

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Puzzle: Four Fours: $57$

Using exactly $4$ instances of the number $4$, the task is to write an expression for $57$, using whatever arithmetical operations you consider necessary.


Solutions

Solution $1$

$57 = 4! + 4! + \dfrac 4 {.\dot 4}$

Solution $2$

$57 = \dfrac {4! + .4} {.4} - 4$

Solution $3$

$57 = \dfrac {4!} {. \dot 4} + \sqrt {\dfrac 4 {. \dot 4} }$