1289

\(1 = 1^{\sqrt{289 }}\) \(2 = 8 - ( 12 - 9 )!\) \(3 = \sqrt{28 - 19 }\) \(4 = \frac{ 18 \cdot 2 }{ 9 }\)
\(5 = 9 - ( 12 - 8 )\) \(6 = \frac{ 8 \cdot 9 }{ 12 }\) \(7 = 18 - 2 - 9 \) \(8 = 9 - 1^{28 }\)
\(9 = 28 - 19 \) \(10 = 1^{28} + 9 \) \(11 = 29 - 18 \) \(12 = ( 9 - 8 ) \cdot 12 \)
\(13 = 12 - 8 + 9 \) \(14 = \sqrt{198 - 2 }\) \(15 = 19 - \frac{ 8 }{ 2 }\) \(16 = \sqrt{289} - 1 \)
\(17 = \sqrt{289} \cdot 1 \) \(18 = \sqrt{289} + 1 \) \(19 = 28 \cdot 1 - 9 \) \(20 = 29 - \sqrt{81 }\)
\(21 = ( 9 - 8 ) \cdot 21 \) \(22 = ( 19 - 8 ) \cdot 2 \) \(23 = \frac{ 8 }{ 2 } + 19 \) \(24 = \frac{ 192 }{ 8 }\)
\(25 = 18 - 2 + 9 \) \(26 = 29 - \sqrt{\sqrt{81 }}\) \(27 = 18 \cdot 2 - 9 \) \(28 = 1^{9} \cdot 28 \)
\(29 = 12 + 8 + 9 \) \(30 = 19 \cdot 2 - 8 \) \(31 = 28 \cdot 1 + \sqrt{9 }\) \(32 = 29 + \sqrt{\sqrt{81 }}\)
\(33 = ( 12 - 8 )! + 9 \) \(34 = ( 1 \cdot 8 + 9 ) \cdot 2 \) \(35 = 2 \cdot 8 + 19 \) \(36 = ( 12 - 8 ) \cdot 9 \)
\(37 = 28 \cdot 1 + 9 \) \(38 = 29 + \sqrt{81 }\) \(39 = 18 \cdot 2 + \sqrt{9 }\) \(40 = ( 8 - 1 )^{2} - 9 \)
\(41 = \frac{ 82 }{ \sqrt{9} - 1 }\) \(42 = ( 18 + \sqrt{9} ) \cdot 2 \) \(43 = ( \frac{ 8 }{ 2 } )! + 19 \) \(44 = \frac{ 89 - 1 }{ 2 }\)
\(45 = 18 \cdot 2 + 9 \) \(46 = 19 \cdot 2 + 8 \) \(47 = 18 + 29 \) \(48 = \frac{ 98 }{ 2 } - 1 \)
\(49 = \frac{ 98 \cdot 1 }{ 2 }\) \(50 = \frac{ 98 }{ 2 } + 1 \) \(51 = 8 \cdot 9 - 21 \) \(52 = 81 - 29 \)
\(53 = ( 8 - 2 ) \cdot 9 - 1 \) \(54 = ( 18 + 9 ) \cdot 2 \) \(55 = 21 \cdot \sqrt{9} - 8 \) \(56 = 18 \cdot \sqrt{9} + 2 \)
\(57 = ( 9 - 2 ) \cdot 8 + 1 \) \(58 = ( 8 - 1 )^{2} + 9 \) \(59 = 8^{2} + 1 - \sqrt{9 }!\) \(60 = 8 \cdot 9 - 12 \)
\(61 = ( 8 - 1 ) \cdot 9 - 2 \) \(62 = ( 9 - 1 ) \cdot 8 - 2 \) \(63 = 82 - 19 \) \(64 = ( 12 - 8 )^{\sqrt{9 }}\)
\(65 = ( 8 - 1 ) \cdot 9 + 2 \) \(66 = ( 9 - 1 ) \cdot 8 + 2 \) \(67 = 91 - ( \frac{ 8 }{ 2 } )!\) \(68 = 89 - 21 \)
\(69 = 8 \cdot 9 - 1 - 2 \) \(70 = 81 - 2 - 9 \) \(71 = 21 \cdot \sqrt{9} + 8 \) \(72 = 82 - 1 - 9 \)
\(73 = 82 \cdot 1 - 9 \) \(74 = 92 - 18 \) \(75 = 91 - 2 \cdot 8 \) \(76 = \frac{ 19 \cdot 8 }{ 2 }\)
\(77 = 89 - 12 \) \(78 = 82 - 1 - \sqrt{9 }\) \(79 = \sqrt{81} \cdot 9 - 2 \) \(80 = 81 + 2 - \sqrt{9 }\)
\(81 = \frac{ 18 }{ 2 } \cdot 9 \) \(82 = 1^{9} \cdot 82 \) \(83 = 92 - \sqrt{81 }\) \(84 = 8 \cdot 9 + 12 \)
\(85 = 91 + 2 - 8 \) \(86 = 98 - 12 \) \(87 = 12 \cdot 8 - 9 \) \(88 = 81 - 2 + 9 \)
\(89 = ( 2 - 1 ) \cdot 89 \) \(90 = 82 - 1 + 9 \) \(91 = 82 \cdot 1 + 9 \) \(92 = 81 + 2 + 9 \)
\(93 = 8 \cdot 9 + 21 \) \(94 = ( 8 \cdot \sqrt{9}! - 1 ) \cdot 2 \) \(95 = \frac{ 8 }{ 2 } + 91 \) \(96 = ( 21 - 9 ) \cdot 8 \)
\(97 = 91 - 2 + 8 \) \(98 = ( 2 - 1 ) \cdot 98 \) \(99 = \frac{ 198 }{ 2 }\) \(100 = 12 \cdot 9 - 8 \)