Four Fours/Lemmata/Three Fours/8

Puzzle

Using exactly $3$ instances of the number $4$, the task is to write an expression for $8$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$8 = \dfrac {4 \times 4} {\sqrt 4}$

Solution $2$

$8 = \sqrt {4 \times 4 \times 4}$

Solution $3$

$8 = \sqrt 4 \times \sqrt 4 \times \sqrt 4$

Solution $4$

$8 = 4! \times \sqrt {\dfrac {. \dot 4} 4}$

Also see

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