All 100 targets have a solution.
\(1 = ( 9 - 8 )^{14 }\)
\(2 = 4 - \frac{ 18 }{ 9 }\)
\(3 = 9 - ( 14 - 8 )\)
\(4 = \frac{ 41 - 9 }{ 8 }\)
\(5 = 18 - 4 - 9 \)
\(6 = \frac{ 18 }{ 9 } + 4 \)
\(7 = \frac{ 98 }{ 14 }\)
\(8 = \frac{ 18 \cdot 4 }{ 9 }\)
\(9 = 14 - 8 + \sqrt{9 }\)
\(10 = 8 \cdot \sqrt{9} - 14 \)
\(11 = 18 - \sqrt{49 }\)
\(12 = \frac{ 4! }{ \frac{ 18 }{ 9 } }\)
\(13 = 94 - 81 \)
\(14 = ( 9 - 8 ) \cdot 14 \)
\(15 = 14 - 8 + 9 \)
\(16 = ( \frac{ 18 }{ 9 } )^{4 }\)
\(17 = 19 - \frac{ 8 }{ 4 }\)
\(18 = 4 \cdot 9 - 18 \)
\(19 = 14 + 8 - \sqrt{9 }\)
\(20 = \sqrt{841} - 9 \)
\(21 = \frac{ 8 }{ 4 } + 19 \)
\(22 = \sqrt{481 + \sqrt{9 }}\)
\(23 = 18 - 4 + 9 \)
\(24 = 41 - 8 - 9 \)
\(25 = 18 + \sqrt{49 }\)
\(26 = \sqrt{841} - \sqrt{9 }\)
\(27 = 18 \cdot \sqrt{4} - 9 \)
\(28 = \frac{ 84 \cdot 1 }{ \sqrt{9 } }\)
\(29 = 48 - 19 \)
\(30 = 4 \cdot \sqrt{9} + 18 \)
\(31 = 49 - 18 \)
\(32 = 81 - 49 \)
\(33 = 18 + 4! - 9 \)
\(34 = 14 \cdot \sqrt{9} - 8 \)
\(35 = 19 + 4! - 8 \)
\(36 = ( 18 - 9 ) \cdot 4 \)
\(37 = ( 8 - 1 ) \cdot 4 + 9 \)
\(38 = \sqrt{841} + 9 \)
\(39 = 48 \cdot 1 - 9 \)
\(40 = 49 - \sqrt{81 }\)
\(41 = ( 9 - 8 ) \cdot 41 \)
\(42 = 41 - 8 + 9 \)
\(43 = \sqrt{1849 }\)
\(44 = ( 19 - 8 ) \cdot 4 \)
\(45 = 81 - 4 \cdot 9 \)
\(46 = 49 - \sqrt{\sqrt{81 }}\)
\(47 = 48 - 1^{9 }\)
\(48 = 89 - 41 \)
\(49 = 1^{9} + 48 \)
\(50 = 1^{8} + 49 \)
\(51 = 4 \cdot 8 + 19 \)
\(52 = 49 + \sqrt{\sqrt{81 }}\)
\(53 = ( 1 + 4 ) \cdot 9 + 8 \)
\(54 = ( 14 - 8 ) \cdot 9 \)
\(55 = \sqrt{49} \cdot 8 - 1 \)
\(56 = 48 - 1 + 9 \)
\(57 = 98 - 41 \)
\(58 = 49 + \sqrt{81 }\)
\(59 = 91 - 4 \cdot 8 \)
\(60 = ( 18 - \sqrt{9} ) \cdot 4 \)
\(61 = ( 8 - 1 ) \cdot 9 - \sqrt{4 }\)
\(62 = 8 \cdot \sqrt{9}! + 14 \)
\(63 = \sqrt{49 \cdot 81 }\)
\(64 = 4^{\sqrt{18 - 9 }}\)
\(65 = 84 - 19 \)
\(66 = ( 14 + 8 ) \cdot \sqrt{9 }\)
\(67 = 18 + 49 \)
\(68 = 19 \cdot 4 - 8 \)
\(69 = 18 \cdot 4 - \sqrt{9 }\)
\(70 = ( 8 - \sqrt{9} ) \cdot 14 \)
\(71 = 8 \cdot 9 - 1^{4 }\)
\(72 = ( \sqrt{81} + 9 ) \cdot 4 \)
\(73 = 98 - 1 - 4 !\)
\(74 = 81 - \sqrt{49 }\)
\(75 = 89 - 14 \)
\(76 = 94 - 18 \)
\(77 = \sqrt{81} \cdot 9 - 4 \)
\(78 = 18 \cdot 4 + \sqrt{9 }!\)
\(79 = 91 - 4 - 8 \)
\(80 = \frac{ ( 14 - 8 )! }{ 9 }\)
\(81 = 18 \cdot 4 + 9 \)
\(82 = 4^{\sqrt{9}} + 18 \)
\(83 = 84 - 1^{9 }\)
\(84 = 98 - 14 \)
\(85 = 94 - \sqrt{81 }\)
\(86 = 8 \cdot 9 + 14 \)
\(87 = \sqrt{841 \cdot 9 }\)
\(88 = \sqrt{49} + 81 \)
\(89 = 1^{4} \cdot 89 \)
\(90 = ( 9 - 4 ) \cdot 18 \)
\(91 = 94 - \sqrt{\sqrt{81 }}\)
\(92 = 84 - 1 + 9 \)
\(93 = 84 \cdot 1 + 9 \)
\(94 = 81 + 4 + 9 \)
\(95 = 91 - 4 + 8 \)
\(96 = ( \sqrt{9} - 1 ) \cdot 48 \)
\(97 = 98 - 1^{4 }\)
\(98 = 1^{4} \cdot 98 \)
\(99 = \frac{ 198 }{ \sqrt{4 } }\)
\(100 = 98 \cdot 1 + \sqrt{4 }\)