Four Fours/64/Solutions

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Puzzle: Four Fours: $64$

Using exactly $4$ instances of the number $4$, the task is to write an expression for $64$, using whatever arithmetical operations you consider necessary.


Solutions

Solution $1$

$64 = \paren {4 + 4} \times \paren {4 + 4}$

Solution $2$

$64 = \dfrac {4! + .4 \times 4} {.4}$

Solution $3$

$64 = \dfrac {4!} {.4} + \sqrt 4 + \sqrt 4$