Four Fours/Lemmata/Three Fours/64

Puzzle

Using exactly $3$ instances of the number $4$, the task is to write an expression for $64$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$64 = \dfrac {4!} {.4} + 4$

Solution $2$

$64 = 4 \uparrow \paren {\sqrt {\dfrac 4 {. \dot 4} } }$

Solution $3$

$64 = 4 \times 4 \times 4$

Also see

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