| \(1 = 8 - ( 15 - 8 )\) | \(2 = \sqrt{85 - 81 }\) | \(3 = \frac{ 18 }{ ( 8 - 5 )! }\) | \(4 = 85 - 81 \) |
| \(5 = 18 - 5 - 8 \) | \(6 = \frac{ 18 }{ 8 - 5 }\) | \(7 = \sqrt{58 - \sqrt{81 }}\) | \(8 = ( 1^{5} )^{8} \cdot 8 \) |
| \(9 = ( 1^{5} )^{8} + 8 \) | \(10 = \frac{ 8 }{ 5 - 1 } + 8 \) | \(11 = 15 - \sqrt{8 + 8 }\) | \(12 = \frac{ 5! }{ 18 - 8 }\) |
| \(13 = 8 \cdot 8 - 51 \) | \(14 = 15 - \frac{ 8 }{ 8 }\) | \(15 = 15 - 8 + 8 \) | \(16 = \frac{ 8 }{ 8 } + 15 \) |
| \(17 = \sqrt{18 \cdot 8} + 5 \) | \(18 = \sqrt{5 - 1} + 8 + 8 \) | \(19 = \sqrt{8 + 8} + 15 \) | \(20 = \sqrt{51 \cdot 8 - 8 }\) |
| \(21 = 18 - 5 + 8 \) | \(22 = 5 \cdot 8 - 18 \) | \(23 = 81 - 58 \) | \(24 = ( 85 - 81 )!\) |
| \(25 = 5^{\frac{ 8 }{ 8 } + 1 }\) | \(26 = 5^{\sqrt{\sqrt{8 + 8}}} + 1 \) | \(27 = \frac{ 81 }{ 8 - 5 }\) | \(28 = \sqrt{\sqrt{( 1 + 5 )^{8}}} - 8 \) |
| \(29 = \sqrt{\sqrt{81}} \cdot 8 + 5 \) | \(30 = \sqrt{\sqrt{8 + 8}} \cdot 15 \) | \(31 = 15 + 8 + 8 \) | \(32 = ( \sqrt{81} - 5 ) \cdot 8 \) |
| \(33 = \frac{ 5! }{ 8 } + 18 \) | \(34 = \sqrt{\sqrt{5^{8}}} + \sqrt{81 }\) | \(35 = 51 - 8 - 8 \) | \(36 = \sqrt{\sqrt{( 1^{8} + 5 )^{8 }}}\) |
| \(37 = 88 - 51 \) | \(38 = \sqrt{\sqrt{81}}! \cdot 5 + 8 \) | \(39 = 5 \cdot 8 - 1^{8 }\) | \(40 = 58 - 18 \) |
| \(41 = 81 - 5 \cdot 8 \) | \(42 = ( 8 - 1 ) \cdot ( 8 - 5 )!\) | \(43 = 51 - \sqrt{8 \cdot 8 }\) | \(44 = \frac{ 88 }{ \sqrt{5 - 1 } }\) |
| \(45 = ( 1^{8} + 8 ) \cdot 5 \) | \(46 = 5 \cdot 8 + \sqrt{\sqrt{81 }}!\) | \(47 = 51 - \sqrt{8 + 8 }\) | \(48 = ( 1^{8} + 5 ) \cdot 8 \) |
| \(49 = 58 - \sqrt{81 }\) | \(50 = ( 18 - 8 ) \cdot 5 \) | \(51 = 51 - 8 + 8 \) | \(52 = \frac{ 8 }{ 8 } + 51 \) |
| \(53 = \sqrt{81} \cdot 5 + 8 \) | \(54 = ( 8 - 5 ) \cdot 18 \) | \(55 = 58 - \sqrt{\sqrt{81 }}\) | \(56 = ( 15 - 8 ) \cdot 8 \) |
| \(57 = 58 - 1^{8 }\) | \(58 = 5 \cdot 8 + 18 \) | \(59 = 1^{8} + 58 \) | \(60 = \sqrt{8 + 8} \cdot 15 \) |
| \(61 = 58 + \sqrt{\sqrt{81 }}\) | \(62 = 8 \cdot 8 - \sqrt{5 - 1 }\) | \(63 = 8 \cdot 8 - 1^{5 }\) | \(64 = 88 - ( 5 - 1 )!\) |
| \(65 = 58 - 1 + 8 \) | \(66 = 58 \cdot 1 + 8 \) | \(67 = 85 - 18 \) | \(68 = 188 - 5 !\) |
| \(69 = 1 \cdot 8 \cdot 8 + 5 \) | \(70 = 8 \cdot 8 + 1 + 5 \) | \(71 = \sqrt{1^{5} + \frac{ 8! }{ 8 }}\) | \(72 = ( 1^{5} + 8 ) \cdot 8 \) |
| \(73 = 88 - 15 \) | \(74 = ?\) | \(75 = 81 - ( 8 - 5 )!\) | \(76 = 18 + 58 \) |
| \(77 = 85 \cdot 1 - 8 \) | \(78 = 81 + 5 - 8 \) | \(79 = 8 \cdot 8 + 15 \) | \(80 = ( 1 \cdot 8 + 8 ) \cdot 5 \) |
| \(81 = ( 8 + 8 ) \cdot 5 + 1 \) | \(82 = 18 \cdot 5 - 8 \) | \(83 = 88 \cdot 1 - 5 \) | \(84 = 81 - 5 + 8 \) |
| \(85 = 1^{8} \cdot 85 \) | \(86 = 1^{8} + 85 \) | \(87 = 88 - 1^{5 }\) | \(88 = 1^{5} \cdot 88 \) |
| \(89 = 1^{5} + 88 \) | \(90 = \sqrt{5 - 1} + 88 \) | \(91 = \sqrt{\sqrt{81}}! + 85 \) | \(92 = 85 - 1 + 8 \) |
| \(93 = 85 \cdot 1 + 8 \) | \(94 = \sqrt{81} + 85 \) | \(95 = \frac{ \sqrt{\sqrt{81}}!! }{ 8 } + 5 \) | \(96 = \frac{ 5! }{ 8 } + 81 \) |
| \(97 = 5! - ( \sqrt{8 + 8}! - 1 )\) | \(98 = 18 \cdot 5 + 8 \) | \(99 = \sqrt{1 + 5!} + 88 \) | \(100 = \sqrt{\sqrt{( \sqrt{5 - 1} + 8 )^{8 }}}\) |