All 100 targets have a solution.
\(1 = 73 - 8 \cdot 9 \)
\(2 = \frac{ 78 }{ 39 }\)
\(3 = \sqrt{\frac{ 73 + 8 }{ 9 }}\)
\(4 = 83 - 79 \)
\(5 = \sqrt{98 - 73 }\)
\(6 = 93 - 87 \)
\(7 = 9 - \frac{ 8 }{ 7 - 3 }\)
\(8 = \frac{ 73 - 9 }{ 8 }\)
\(9 = \frac{ 73 + 8 }{ 9 }\)
\(10 = \frac{ 83 + 7 }{ 9 }\)
\(11 = \frac{ 98 }{ 7 } - 3 \)
\(12 = ( 8 - 7 ) \cdot 3 + 9 \)
\(13 = \frac{ 78 }{ 9 - 3 }\)
\(14 = 97 - 83 \)
\(15 = 93 - 78 \)
\(16 = 89 - 73 \)
\(17 = 7 \cdot 8 - 39 \)
\(18 = \sqrt{73 + 8} + 9 \)
\(19 = \frac{ 38 }{ 9 - 7 }\)
\(20 = 37 - 8 - 9 \)
\(21 = \sqrt{7^{3} + 98 }\)
\(22 = 38 - 7 - 9 \)
\(23 = \frac{ 78 - 9 }{ 3 }\)
\(24 = ( 83 - 79 )!\)
\(25 = 98 - 73 \)
\(26 = \frac{ 78 \cdot 3 }{ 9 }\)
\(27 = \sqrt{738 - 9 }\)
\(28 = 38 - 7 - \sqrt{9 }\)
\(29 = \frac{ 78 + 9 }{ 3 }\)
\(30 = \sqrt{893 + 7 }\)
\(31 = 79 - 3! \cdot 8 \)
\(32 = \frac{ 87 + 9 }{ 3 }\)
\(33 = 87 - 3! \cdot 9 \)
\(34 = 38 - 7 + \sqrt{9 }\)
\(35 = 8 \cdot 9 - 37 \)
\(36 = 37 + 8 - 9 \)
\(37 = ( 9 - 8 ) \cdot 37 \)
\(38 = 37 - 8 + 9 \)
\(39 = 78 - 39 \)
\(40 = 38 - 7 + 9 \)
\(41 = 79 - 38 \)
\(42 = \frac{ 378 }{ 9 }\)
\(43 = \frac{ 387 }{ 9 }\)
\(44 = ( 8 - 3 ) \cdot 7 + 9 \)
\(45 = \frac{ 7 + 8 }{ 3 } \cdot 9 \)
\(46 = \frac{ 9! }{ 8! } + 37 \)
\(47 = 89 - 3! \cdot 7 \)
\(48 = 87 - 39 \)
\(49 = 73 - 8 \cdot \sqrt{9 }\)
\(50 = 7 \cdot 8 + 3 - 9 \)
\(51 = 78 - 3 \cdot 9 \)
\(52 = 89 - 37 \)
\(53 = 7 \cdot 8 - \frac{ 9 }{ 3 }\)
\(54 = 37 + 8 + 9 \)
\(55 = 79 - 3 \cdot 8 \)
\(56 = 73 - 8 - 9 \)
\(57 = ( 8 - 3 )! - 7 \cdot 9 \)
\(58 = \frac{ 87 \cdot 3! }{ 9 }\)
\(59 = 97 - 38 \)
\(60 = 87 - 3 \cdot 9 \)
\(61 = 98 - 37 \)
\(62 = 73 - 8 - \sqrt{9 }\)
\(63 = \frac{ 378 }{ \sqrt{9 }! }\)
\(64 = \sqrt{73 - 9} \cdot 8 \)
\(65 = 79 - 3! - 8 \)
\(66 = 78 - 3 - 9 \)
\(67 = 83 - 7 - 9 \)
\(68 = 79 - 3 - 8 \)
\(69 = 789 - 3 !!\)
\(70 = 79 - \sqrt{\sqrt{3^{8 }}}\)
\(71 = ( 3 + 7 ) \cdot 8 - 9 \)
\(72 = 73 + 8 - 9 \)
\(73 = ( 9 - 8 ) \cdot 73 \)
\(74 = 73 - 8 + 9 \)
\(75 = 78 - \frac{ 9 }{ 3 }\)
\(76 = ( 9 - 7 ) \cdot 38 \)
\(77 = 98 - 3 \cdot 7 \)
\(78 = 798 - 3 !!\)
\(79 = 89 - 3 - 7 \)
\(80 = \sqrt{93 + 7} \cdot 8 \)
\(81 = \frac{ 9 }{ 3 } + 78 \)
\(82 = \frac{ 738 }{ 9 }\)
\(83 = \sqrt{83^{9 - 7 }}\)
\(84 = 78 - 3 + 9 \)
\(85 = 83 - 7 + 9 \)
\(86 = 97 - 3 - 8 \)
\(87 = \frac{ 783 }{ 9 }\)
\(88 = 98 - 3 - 7 \)
\(89 = ( 7 - 3! ) \cdot 89 \)
\(90 = 73 + 8 + 9 \)
\(91 = \sqrt{7 - 3} + 89 \)
\(92 = 93 + 7 - 8 \)
\(93 = \frac{ 837 }{ 9 }\)
\(94 = 93 - 7 + 8 \)
\(95 = 7 \cdot 8 + 39 \)
\(96 = 3 \cdot \sqrt{9} + 87 \)
\(97 = \frac{ 873 }{ 9 }\)
\(98 = ( 7 - 3! ) \cdot 98 \)
\(99 = 83 + 7 + 9 \)
\(100 = \sqrt{7 - 3} + 98 \)