Four Fours/57/Solutions/2

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.

Solution

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

Sources

• 1980: Angela Dunn: Mathematical Bafflers (revised ed.) ... (previous) ... (next): $1$. Say it with Letters: Algebraic Amusements: Four Fours