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