Four Fours/12

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 $5$

$12 = 4 + 4 + \sqrt 4 + \sqrt 4$

Also see

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