Four Fours/Lemmata/Three Fours/6
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Puzzle
Using exactly $3$ instances of the number $4$, the task is to write an expression for $6$, using whatever arithmetical operations you consider necessary.
Solutions
Solution $1$
- $6 = 4 + 4 - \sqrt 4$
Solution $2$
- $6 = 4 \times \sqrt 4 - \sqrt 4$
Solution $3$
- $6 = \sqrt 4 + \sqrt 4 + \sqrt 4$
Solution $4$
- $6 = \dfrac 4 {\sqrt 4} + 4$