Four Fours/23
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Puzzle
Using exactly $4$ instances of the number $4$, the task is to write an expression for $23$, using whatever arithmetical operations you consider necessary.
Solutions
Solution $1$
- $23 = 4! - 4 + \sqrt {\dfrac 4 {. \dot 4} }$
Solution $2$
- $23 = \dfrac {4! \times 4 - 4} 4$
Solution $3$
- $23 = 4! - \dfrac {\sqrt 4 + \sqrt 4} 4$