| \(1 = ( 9 - 8 )^{15 }\) | \(2 = 9 - ( 15 - 8 )\) | \(3 = \frac{ 15 + 9 }{ 8 }\) | \(4 = 18 - 5 - 9 \) |
| \(5 = \sqrt{5^{\frac{ 18 }{ 9 }}}\) | \(6 = 91 - 85 \) | \(7 = \frac{ 18 }{ 9 } + 5 \) | \(8 = \sqrt{18 - 9} + 5 \) |
| \(9 = 8 \cdot \sqrt{9} - 15 \) | \(10 = \frac{ 18 \cdot 5 }{ 9 }\) | \(11 = \frac{ 18 }{ \sqrt{9} } + 5 \) | \(12 = \frac{ 91 + 5 }{ 8 }\) |
| \(13 = \frac{ 15 }{ \sqrt{9} } + 8 \) | \(14 = 95 - 81 \) | \(15 = ( 9 - 8 ) \cdot 15 \) | \(16 = 15 - 8 + 9 \) |
| \(17 = 1^{5} \cdot 8 + 9 \) | \(18 = \frac{ 81 + 9 }{ 5 }\) | \(19 = \frac{ 58 - 1 }{ \sqrt{9 } }\) | \(20 = 15 + 8 - \sqrt{9 }\) |
| \(21 = 5 \cdot 8 - 19 \) | \(22 = 81 - 59 \) | \(23 = \sqrt{81} + 5 + 9 \) | \(24 = ( 18 - 5 - 9 )!\) |
| \(25 = 5^{\frac{ 18 }{ 9 }}\) | \(26 = 15 + 8 + \sqrt{9 }\) | \(27 = 5 \cdot 9 - 18 \) | \(28 = \frac{ 85 - 1 }{ \sqrt{9 } }\) |
| \(29 = \frac{ 58 }{ \sqrt{9} - 1 }\) | \(30 = \frac{ 18 \cdot 5 }{ \sqrt{9 } }\) | \(31 = 5! - 89 \cdot 1 \) | \(32 = 15 + 8 + 9 \) |
| \(33 = 91 - 58 \) | \(34 = 51 - 8 - 9 \) | \(35 = ( 8 - 1^{9} ) \cdot 5 \) | \(36 = 81 - 5 \cdot 9 \) |
| \(37 = 15 \cdot \sqrt{9} - 8 \) | \(38 = 89 - 51 \) | \(39 = 58 - 19 \) | \(40 = \frac{ 15 \cdot 8 }{ \sqrt{9 } }\) |
| \(41 = 59 - 18 \) | \(42 = 18 \cdot 9 - 5 !\) | \(43 = 1 \cdot 5 \cdot 8 + \sqrt{9 }\) | \(44 = 5^{\sqrt{9}} - 81 \) |
| \(45 = ( 18 - 9 ) \cdot 5 \) | \(46 = 51 - 8 + \sqrt{9 }\) | \(47 = 98 - 51 \) | \(48 = ( 15 - 9 ) \cdot 8 \) |
| \(49 = 58 \cdot 1 - 9 \) | \(50 = 59 - \sqrt{81 }\) | \(51 = ( 9 - 8 ) \cdot 51 \) | \(52 = 51 - 8 + 9 \) |
| \(53 = 15 \cdot \sqrt{9} + 8 \) | \(54 = 58 - 1 - \sqrt{9 }\) | \(55 = ( 19 - 8 ) \cdot 5 \) | \(56 = 59 - \sqrt{\sqrt{81 }}\) |
| \(57 = 8 \cdot 9 - 15 \) | \(58 = 1^{9} \cdot 58 \) | \(59 = 5 \cdot 8 + 19 \) | \(60 = 1^{8} + 59 \) |
| \(61 = 58 \cdot 1 + \sqrt{9 }\) | \(62 = 59 + \sqrt{\sqrt{81 }}\) | \(63 = ( 15 - 8 ) \cdot 9 \) | \(64 = 8^{\frac{ 1 + 9 }{ 5 }}\) |
| \(65 = 89 - ( 5 - 1 )!\) | \(66 = 85 - 19 \) | \(67 = 58 \cdot 1 + 9 \) | \(68 = 59 + \sqrt{81 }\) |
| \(69 = 189 - 5 !\) | \(70 = 81 - 5 - \sqrt{9 }!\) | \(71 = 8 \cdot 9 - 1^{5 }\) | \(72 = ( 9 - 5 ) \cdot 18 \) |
| \(73 = 81 - 5 - \sqrt{9 }\) | \(74 = 89 - 15 \) | \(75 = 85 - 1 - 9 \) | \(76 = 85 \cdot 1 - 9 \) |
| \(77 = 18 + 59 \) | \(78 = 198 - 5 !\) | \(79 = 81 - 5 + \sqrt{9 }\) | \(80 = ( 1^{5} + 9 ) \cdot 8 \) |
| \(81 = 18 \cdot 5 - 9 \) | \(82 = 85 \cdot 1 - \sqrt{9 }\) | \(83 = 98 - 15 \) | \(84 = 85 - 1^{9 }\) |
| \(85 = 81 - 5 + 9 \) | \(86 = 95 - \sqrt{81 }\) | \(87 = 8 \cdot 9 + 15 \) | \(88 = 89 - 1^{5 }\) |
| \(89 = 1^{5} \cdot 89 \) | \(90 = 1^{5} + 89 \) | \(91 = \sqrt{5 - 1} + 89 \) | \(92 = 98 - 1 - 5 \) |
| \(93 = 85 - 1 + 9 \) | \(94 = 85 \cdot 1 + 9 \) | \(95 = 81 + 5 + 9 \) | \(96 = 1^{8} + 95 \) |
| \(97 = 98 - 1^{5 }\) | \(98 = 1^{5} \cdot 98 \) | \(99 = 18 \cdot 5 + 9 \) | \(100 = \sqrt{5 - 1} + 98 \) |