Four Fours/64
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Puzzle
Using exactly $4$ instances of the number $4$, the task is to write an expression for $64$, using whatever arithmetical operations you consider necessary.
Solutions
Solution $1$
- $64 = \paren {4 + 4} \times \paren {4 + 4}$
Solution $2$
- $64 = \dfrac {4! + .4 \times 4} {.4}$
Solution $3$
- $64 = \dfrac {4!} {.4} + \sqrt 4 + \sqrt 4$