Four Fours/45

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $45$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$45 = 4! + 4! - \sqrt {\dfrac 4 {. \dot 4} }$

Solution $2$

$45 = 4! \times \sqrt 4 - \sqrt {\dfrac 4 {. \dot 4} }$

Solution $3$

$45 = 44 + \dfrac 4 4$

Also see

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