Four Fours/30

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Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $30$, using whatever arithmetical operations you consider necessary.


Solutions

Solution $1$

$30 = \dfrac 4 {.4} \times \sqrt {\dfrac 4 {. \dot 4} }$

Solution $2$

$30 = 4 \times 4 \times \sqrt 4 - \sqrt 4$

Solution $3$

$30 = 4! + 4 + 4 - \sqrt 4$

Solution $4$

$30 = 4! + 4 \times \sqrt 4 - \sqrt 4$

Solution $5$

$30 = 4! + \sqrt 4 + \sqrt 4 + \sqrt 4$

Solution $6$

$30 = 4! + 4 + \dfrac 4 {\sqrt 4}$


Also see

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