Four Fours/78

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $78$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$78 = \dfrac {4! + 4! + 4} {\sqrt {. \dot 4} }$

Solution $2$

$78 = \dfrac {4! + 4! \times {. \dot 4} } {\sqrt {. \dot 4} }$

Solution $3$

$78 = \dfrac {4!} {. \dot 4} + \paren {\sqrt 4 + \sqrt 4}!$

Also see

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