Four Fours/33

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $33$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$33 = 4! + \paren {\sqrt {\dfrac 4 {. \dot 4} } }^{\sqrt 4}$

Solution $2$

$33 = \dfrac 4 {. \dot 4} + \paren {\sqrt 4 + \sqrt 4}!$

Solution $3$

$33 = \dfrac {4 - .4} {.4} + 4!$

Solution $4$

$33 = \map \Gamma 4 + \dfrac {\map \Gamma 4} {\sqrt 4} + 4!$

Solution $5$

$33 = \dfrac {. \dot 4 \times 4! + 4} {. \dot 4}$

Solution $6$

$33 = 4! + \dfrac {\sqrt 4 + \sqrt 4} {. \dot 4}$

Also see

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