Four Fours/48

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $48$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$48 = 4! + 4! + 4! - 4!$

Solution $2$

$48 = 4! \times \dfrac {4 + 4} 4$

Solution $3$

$48 = \dfrac {4 \times 4! \times \sqrt 4} 4$

Solution $4$

$48 = 4 \times \paren {4 + 4 + 4}$

Solution $5$

$48 = 44 + \sqrt 4 + \sqrt 4$

Also see

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