Four Fours/78
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Puzzle
Using exactly $4$ instances of the number $4$, the task is to write an expression for $78$, using whatever arithmetical operations you consider necessary.
Solutions
Solution $1$
- $78 = \dfrac {4! + 4! + 4} {\sqrt {. \dot 4} }$
Solution $2$
- $78 = \dfrac {4! + 4! \times {. \dot 4} } {\sqrt {. \dot 4} }$
Solution $3$
- $78 = \dfrac {4!} {. \dot 4} + \paren {\sqrt 4 + \sqrt 4}!$