Four Fours/Lemmata/Two Fours/6

Puzzle

Using exactly $2$ instances of the number $4$, the task is to write an expression for $6$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$6 = 4 + \sqrt 4$

Solution $2$

$6 = \dfrac {4!} 4$

Solution $3$

$6 = \dfrac 4 {\sqrt {. \dot 4} }$

Solution $4$

$6 = \paren {\sqrt {\dfrac 4 {. \dot 4} } }!$

Solution $5$

$6 = \paren {\dfrac {\map \Gamma 4} {\sqrt 4} }!$

Also see

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