# 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.

## Read 3 comments

1. I guess since I have an axe to grind post-cake problem, I tried a bit harder on this one. To avoid spoilers, a solution is in ASCII code, you can convert it to readable text at http://www.braingle.com/brainteasers/codes/ascii.php

49 56 49 32 115 113 117 97 114 101 100 32 105 115 32 51 50 55 54 49 44 32 119 104 105 99 104 32 105 115 32 55 32 108 101 115 115 32 116 104 97 110 32 50 94 49 53 46 13 10 84 104 117 115 32 105 102 32 119 101 32 99 97 110 32 99 97 108 99 117 108 97 116 101 32 50 94 49 53 32 119 105 116 104 32 55 44 53 44 53 44 32 119 101 39 100 32 98 101 32 100 111 110 101 46 13 10 73 32 115 112 101 110 116 32 97 32 108 111 116 32 111 102 32 116 105 109 101 32 115 116 117 99 107 32 111 110 32 116 104 97 116 44 32 98 117 116 32 101 118 101 110 116 117 97 108 108 121 32 73 32 114 101 97 108 105 122 101 100 32 116 104 97 116 32 73 32 99 97 110 32 106 117 115 116 32 114 101 112 101 97 116 101 100 108 121 32 116 97 107 101 32 115 113 117 97 114 101 32 114 111 111 116 115 32 111 102 32 50 94 49 50 48 32 61 32 40 55 45 53 41 94 40 53 33 41 46

• That is correct. Good Job!

2. Solution:
$\sqrt{\sqrt{\sqrt{\sqrt{(7-5)^{5!}}}}-7}$