Four Fours/37
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Puzzle
Using exactly $4$ instances of the number $4$, the task is to write an expression for $37$, using whatever arithmetical operations you consider necessary.
Solutions
Solution $1$
- $37 = 4! + \dfrac {4! + \sqrt 4} {\sqrt 4}$
Solution $2$
- $37 = \dfrac {4 \times 4 + . \dot 4} {. \dot 4}$
Solution $3$
- $37 = 4! + 4 + \dfrac 4 {. \dot 4}$