Four Fours/57

Puzzle

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 $3$

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

Also see

Previous  ... Next