Four Fours/100

Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $100$, using whatever arithmetical operations you consider necessary.

Solutions

Solution $1$

$100 = \dfrac 4 {.4} \times \dfrac 4 {.4}$

Solution $2$

$100 = \paren {\dfrac 4 {.4} }^{\tfrac 4 {\sqrt 4} }$

Solution $3$

$100 = \paren {4! + \dfrac 4 4} \times 4$

Solution $4$

$100 = 4! \times 4 + \sqrt 4 + \sqrt 4$

Also see

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