Four Fours/51

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $51$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$51 = 4! + 4! + \sqrt {\dfrac 4 {. \dot 4} }$

Solution $2$

$51 = 4! \times \sqrt 4 + \sqrt {\dfrac 4 {. \dot 4} }$

Solution $3$

$51 = \dfrac {4!} {. \dot 4} - \sqrt {\dfrac 4 {. \dot 4} }$

Also see

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