Representation of numbers with three 4's
| 1 | (√4 + √4)/4 = (√4×√4)/4 |
| 2 | (4 + 4)/4 |
| 3 | 4 - 4/4 |
| 4 | 4 + 4 - 4 = 4×4/4 |
| 5 | 4 + 4/4 |
| 6 | 4 + 4/√4 |
| 7 | 4!! - 4/4 |
| 8 | 4!! + 4 - 4 |
| 9 | 4!! + 4/4 |
| 10 | (√4 + √4)/.4 = 4!! + 4/√4 |
| 11 | 44/4 |
| 12 | 4 + 4 + 4 = 4×4 - 4 |
| 13 | 4/.(4) + 4 |
| 14 | 4/.4 + 4 = 4×4 - √4 |
| 15 | 4×4 - [√√4] |
| 16 | (√4 + √4)×4 = 4!! + 4 + 4 = 4! - 4 - 4 |
| 17 | 4/.(4) + 4!! |
| 18 | 4×4 + √4 |
| 19 | [4×4!/√4!] |
| 20 | 4!! + 4!! + 4 = 4×4 + 4 |
| 21 | 4! - 4 + [√√4] |
| 22 | 4! - 4/√4 |
| 23 | 4! - 4/4 |
| 24 | 4! + 4 - 4 = 4!! + 4!! + 4!! |
| 25 | 4! + 4/4 |
| 26 | 4! + 4/√4 |
| 27 | 4! + 4 - [√√4] |
| 28 | 4! + √4×4 |
| 29 | 4! + 4 + [√√4] |
| 30 | 4! + 4 + √4 |
| 31 | 4!!×4 - [√√4](1) |
| 32 | 4! + 4 + 4 |
| 33 | 4!!×4 + [√√4](1) = 4! + 4/.(4) |
| 34 | 4! + 4/.4 |
(1) By Andre Gustavo dos Santos from Brasil
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