Four Fours/100
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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 $4$
- $100 = 4! \times 4 + \sqrt 4 + \sqrt 4$