Four Fours/68

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Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $68$, using whatever arithmetical operations you consider necessary.


Solutions

Solution $1$

$68 = 4 \uparrow \sqrt {\dfrac 4 {. \dot 4} } + 4$

Solution $2$

$68 = \dfrac {4!} {.4} + 4 \times \sqrt 4$

Solution $3$

$68 = \dfrac {4!} {.4} + 4 + 4$

Solution $4$

$68 = 4 \times 4 \times 4 + 4$


Also see

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