All 100 targets have a solution.
\(1 = ( 3 + 5 - 7 )^{8 }\)
\(2 = \sqrt{\frac{ 37 - 5 }{ 8 }}\)
\(3 = 8 - \frac{ 35 }{ 7 }\)
\(4 = \frac{ 37 - 5 }{ 8 }\)
\(5 = \sqrt{78 - 53 }\)
\(6 = ( 8 - \frac{ 35 }{ 7 } )!\)
\(7 = \sqrt{75 \cdot 3} - 8 \)
\(8 = 83 - 75 \)
\(9 = \frac{ 37 + 8 }{ 5 }\)
\(10 = \sqrt{57 - 8} + 3 \)
\(11 = \frac{ 57 }{ 3 } - 8 \)
\(12 = 85 - 73 \)
\(13 = \frac{ 35 }{ 7 } + 8 \)
\(14 = \sqrt{73 + 8} + 5 \)
\(15 = 73 - 58 \)
\(16 = \sqrt{( 37 - 5 ) \cdot 8 }\)
\(17 = \frac{ 58 - 7 }{ 3 }\)
\(18 = \frac{ 83 + 7 }{ 5 }\)
\(19 = 57 - 38 \)
\(20 = 35 - 7 - 8 \)
\(21 = 58 - 37 \)
\(22 = 37 - \frac{ 5! }{ 8 }\)
\(23 = \sqrt{537 - 8 }\)
\(24 = \sqrt{583 - 7 }\)
\(25 = 78 - 53 \)
\(26 = 83 - 57 \)
\(27 = \frac{ 57 }{ 3 } + 8 \)
\(28 = ( 7 - 3 ) \cdot 5 + 8 \)
\(29 = \frac{ 58 }{ \sqrt{7 - 3 } }\)
\(30 = 5! - 83 - 7 \)
\(31 = \frac{ 78 }{ 3 } + 5 \)
\(32 = \frac{ 5 + 7 }{ 3 } \cdot 8 \)
\(33 = 57 - 3 \cdot 8 \)
\(34 = 87 - 53 \)
\(35 = ( 8 - 7 ) \cdot 35 \)
\(36 = 35 - 7 + 8 \)
\(37 = 75 - 38 \)
\(38 = 53 - 7 - 8 \)
\(39 = \frac{ 78 }{ 5 - 3 }\)
\(40 = \frac{ 35 }{ 7 } \cdot 8 \)
\(41 = 7^{5 - 3} - 8 \)
\(42 = ( 3 + 7 ) \cdot 5 - 8 \)
\(43 = 78 - 35 \)
\(44 = 5! - 83 + 7 \)
\(45 = 58 - 3! - 7 \)
\(46 = 57 - 3 - 8 \)
\(47 = 5^{3} - 78 \)
\(48 = 85 - 37 \)
\(49 = ( 3 \cdot 5 - 8 ) \cdot 7 \)
\(50 = 35 + 7 + 8 \)
\(51 = 75 - 3 \cdot 8 \)
\(52 = 87 - 35 \)
\(53 = ( 8 - 7 ) \cdot 53 \)
\(54 = 53 - 7 + 8 \)
\(55 = \frac{ 385 }{ 7 }\)
\(56 = 58 - \sqrt{7 - 3 }\)
\(57 = 58 + 3! - 7 \)
\(58 = ( 7 - 3! ) \cdot 58 \)
\(59 = 57 - 3! + 8 \)
\(60 = 73 - 5 - 8 \)
\(61 = 75 - 3! - 8 \)
\(62 = 57 - 3 + 8 \)
\(63 = 78 - 3 \cdot 5 \)
\(64 = 75 - 3 - 8 \)
\(65 = 785 - 3 !!\)
\(66 = \frac{ 78 + 5! }{ 3 }\)
\(67 = 73 - ( 8 - 5 )!\)
\(68 = 53 + 7 + 8 \)
\(69 = \frac{ 87 + 5! }{ 3 }\)
\(70 = 73 + 5 - 8 \)
\(71 = 83 - 5 - 7 \)
\(72 = 87 - 3 \cdot 5 \)
\(73 = 5 \cdot 7 + 38 \)
\(74 = 5! - ( \sqrt{\sqrt{7^{8}}} - 3 )\)
\(75 = 85 - 3 - 7 \)
\(76 = ( 7 - 5 ) \cdot 38 \)
\(77 = 5 \cdot 8 + 37 \)
\(78 = ( 3! - 5 ) \cdot 78 \)
\(79 = 3 \cdot 7 + 58 \)
\(80 = 75 - 3 + 8 \)
\(81 = 3 \cdot 8 + 57 \)
\(82 = ( 7 - 3 )! + 58 \)
\(83 = \sqrt{83^{7 - 5 }}\)
\(84 = 85 + 3! - 7 \)
\(85 = 83 - 5 + 7 \)
\(86 = 73 + 5 + 8 \)
\(87 = \sqrt{7 - 3} + 85 \)
\(88 = \frac{ 5! }{ 8 } + 73 \)
\(89 = 85 - 3 + 7 \)
\(90 = ( 3 + 7 + 8 ) \cdot 5 \)
\(91 = 7 \cdot 8 + 35 \)
\(92 = \frac{ 7! }{ 3!! } + 85 \)
\(93 = 3 \cdot 5 + 78 \)
\(94 = 5! - \frac{ 78 }{ 3 }\)
\(95 = 37 + 58 \)
\(96 = \sqrt{\frac{ 7! }{ 35 }} \cdot 8 \)
\(97 = 3 \cdot 5 \cdot 7 - 8 \)
\(98 = 85 + 3! + 7 \)
\(99 = 3 \cdot 8 + 75 \)
\(100 = 3! \cdot 7 + 58 \)