Four Fours/5

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $5$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$5 = \dfrac {4 \times 4 + 4} 4$

Solution $2$

$5 = \sqrt {\dfrac 4 {.\dot 4} } + \dfrac 4 {\sqrt 4}$

Solution $3$

$5 = \dfrac 4 4 + \sqrt 4 + \sqrt 4$

Solution $4$

$5 = \dfrac 4 4 + \sqrt {4 \times 4}$

Also see

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