Four Fours/12
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Puzzle
Using exactly $4$ instances of the number $4$, the task is to write an expression for $12$, using whatever arithmetical operations you consider necessary.
Solutions
Solution $1$
- $12 = \paren {4 - \dfrac 4 4} \times 4$
Solution $2$
- $12 = \paren {4 - \dfrac 4 4}! \times \sqrt 4$
Solution $3$
- $12 = \dfrac {4! \times 4} {4 \times \sqrt 4}$
Solution $4$
- $12 = \dfrac {4! \times \paren {4 / 4} } {\sqrt 4}$
Solution $5$
- $12 = 4 + 4 + \sqrt 4 + \sqrt 4$