Four Fours/45
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Puzzle
Using exactly $4$ instances of the number $4$, the task is to write an expression for $45$, using whatever arithmetical operations you consider necessary.
Solutions
Solution $1$
- $45 = 4! + 4! - \sqrt {\dfrac 4 {. \dot 4} }$
Solution $2$
- $45 = 4! \times \sqrt 4 - \sqrt {\dfrac 4 {. \dot 4} }$
Solution $3$
- $45 = 44 + \dfrac 4 4$