Four Fours/Lemmata/Three Fours/55
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Puzzle
Using exactly $3$ instances of the number $4$, the task is to write an expression for $55$, using whatever arithmetical operations you consider necessary.
Solutions
Solution $1$
- $55 = \dfrac {4! - \sqrt 4} {.4}$
Solution $2$
- $55 = \dfrac {4! + {. \dot 4} } {. \dot 4}$