Four Fours/75/Solutions/2

Puzzle: Four Fours: $75$

Using exactly $4$ instances of the number $4$, the task is to write an expression for $75$, using whatever arithmetical operations you consider necessary.

Solution

$75 = \dfrac {4! \times \sqrt 4 + \sqrt 4} {\sqrt {. \dot 4} }$

Sources

• 1980: Angela Dunn: Mathematical Bafflers (revised ed.) ... (previous) ... (next): $1$. Say it with Letters: Algebraic Amusements: Four Fours