# Logic Puzzle: 5, 5, 7, 7 = 181

If you have not already solved the puzzle “One, Two, Three,” you should solve that one first. It is a warm-up for this one.

Using the numbers 5 and 7, each twice, and the combining them using addition, subtraction, multiplication, division, exponentiation, square root, factorial, unary negation, and/or parenthesis, but no base 10 shenanigans like digit concatenation, come up with an expression which evaluates to 181.

The solution will eventually be posted in the comments, but if you solve it before then, feel free to show off.

$\sqrt{\sqrt{\sqrt{\sqrt{(7-5)^{5!}}}}-7}$