Four Fours/19

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Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $19$, using whatever arithmetical operations you consider necessary.


Solutions

Solution $1$

$19 = 4 \times 4 + \sqrt {\dfrac 4 {. \dot 4} }$

Solution $2$

$19 = 4! - 4 - \dfrac 4 4$

Solution $3$

$19 = \dfrac {\map \Gamma 4} {\sqrt 4} + 4 \times 4$


Also see

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