Four Fours/Lemmata/Two Fours/4/Solutions

Puzzle: Two Fours: $4$

Using exactly $2$ instances of the number $4$, the task is to write an expression for $4$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$4 = \sqrt 4 + \sqrt 4$

Solution $2$

$4 = \sqrt 4 \times \sqrt 4$

Solution $3$

$4 = \sqrt 4 \uparrow \sqrt 4$

Solution $4$

$4 = \dfrac {4!} {\map \Gamma 4}$

where $\Gamma$ denotes the Gamma function