Four Fours/36

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $36$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$36 = \paren {\paren {\sqrt {\dfrac 4 {. \dot 4} } }^{\sqrt 4} } \times 4$

Solution $2$

$36 = \paren {4 + \sqrt 4} \times \paren {4 + \sqrt 4}$

Solution $3$

$36 = 4! + 4 + 4 + 4$

Solution $4$

$36 = \dfrac {4! \sqrt 4} 4 + 4!$

Solution $5$

$36 = 44 - 4 - 4$

Also see

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