2 3 5 8

All 100 targets have a solution.

\(1 = 25 - 3 \cdot 8 \)
\(2 = 3! \cdot 5 - 28 \)
\(3 = \frac{ 23 - 8 }{ 5 }\)
\(4 = \frac{ 8 }{ \sqrt{25} - 3 }\)
\(5 = \sqrt{53 - 28 }\)
\(6 = 38 - 2^{5 }\)
\(7 = 35 - 28 \)
\(8 = \frac{ 32 + 8 }{ 5 }\)
\(9 = \sqrt{23 + 58 }\)
\(10 = 23 - 5 - 8 \)
\(11 = \frac{ 25 + 8 }{ 3 }\)
\(12 = \sqrt{( 23 - 5 ) \cdot 8 }\)
\(13 = 38 - 25 \)
\(14 = 52 - 38 \)
\(15 = \sqrt{52 - 3} + 8 \)
\(16 = ( \sqrt{25} - 3 ) \cdot 8 \)
\(17 = 5 \cdot 8 - 23 \)
\(18 = 2 + 3 + 5 + 8 \)
\(19 = 32 - 5 - 8 \)
\(20 = 23 + 5 - 8 \)
\(21 = \sqrt{32 \cdot 8} + 5 \)
\(22 = \frac{ 5! }{ 2 } - 38 \)
\(23 = \sqrt{25} \cdot 3 + 8 \)
\(24 = \frac{ 38 }{ 2 } + 5 \)
\(25 = 53 - 28 \)
\(26 = 58 - 32 \)
\(27 = 25 - 3! + 8 \)
\(28 = 38 - 2 \cdot 5 \)
\(29 = 82 - 53 \)
\(30 = 25 - 3 + 8 \)
\(31 = 83 - 52 \)
\(32 = \frac{ 58 }{ 2 } + 3 \)
\(33 = 38 - \sqrt{25 }\)
\(34 = 5 \cdot 8 - 2 \cdot 3 \)
\(35 = 58 - 23 \)
\(36 = 23 + 5 + 8 \)
\(37 = 53 - 2 \cdot 8 \)
\(38 = \frac{ 5! }{ 8 } + 23 \)
\(39 = \frac{ 8 }{ 2 } + 35 \)
\(40 = ( 3 - 2 ) \cdot 5 \cdot 8 \)
\(41 = 35 - 2 + 8 \)
\(42 = 82 - \frac{ 5! }{ 3 }\)
\(43 = \frac{ 258 }{ 3 ! }\)
\(44 = \frac{ 352 }{ 8 }\)
\(45 = 32 + 5 + 8 \)
\(46 = 58 - 2 \cdot 3 !\)
\(47 = 82 - 35 \)
\(48 = 2 \cdot 5 + 38 \)
\(49 = 3 \cdot 8 + 25 \)
\(50 = 58 - 2^{3 }\)
\(51 = ( 25 - 8 ) \cdot 3 \)
\(52 = 58 - 2 \cdot 3 \)
\(53 = 85 - 32 \)
\(54 = ( 35 - 8 ) \cdot 2 \)
\(55 = ( 3 + 8 ) \cdot \sqrt{25 }\)
\(56 = ( 5 - 3 ) \cdot 28 \)
\(57 = 52 - 3 + 8 \)
\(58 = 83 - 25 \)
\(59 = 53 - 2 + 8 \)
\(60 = \frac{ 8 }{ 2 } \cdot 3 \cdot 5 \)
\(61 = \sqrt{53^{2}} + 8 \)
\(62 = 85 - 23 \)
\(63 = 25 + 38 \)
\(64 = 2 \cdot 3 + 58 \)
\(65 = ( 2 + 3 + 8 ) \cdot 5 \)
\(66 = ( 38 - 5 ) \cdot 2 \)
\(67 = 25 \cdot 3 - 8 \)
\(68 = \frac{ 5! }{ 3 } + 28 \)
\(69 = ( 8 - 5 ) \cdot 23 \)
\(70 = 2^{5} + 38 \)
\(71 = 38 \cdot 2 - 5 \)
\(72 = 5 \cdot 8 + 32 \)
\(73 = 83 - 2 \cdot 5 \)
\(74 = 82 - 3 - 5 \)
\(75 = ( 23 - 8 ) \cdot 5 \)
\(76 = 3 \cdot 8 + 52 \)
\(77 = 85 - 2^{3 }\)
\(78 = 83 - \sqrt{25 }\)
\(79 = 28 \cdot 3 - 5 \)
\(80 = 82 + 3 - 5 \)
\(81 = 23 + 58 \)
\(82 = \sqrt{25}! - 38 \)
\(83 = 25 \cdot 3 + 8 \)
\(84 = 82 - 3 + 5 \)
\(85 = ( 3 - 2 ) \cdot 85 \)
\(86 = \frac{ 258 }{ 3 }\)
\(87 = \frac{ 58 }{ 2 } \cdot 3 \)
\(88 = \frac{ 528 }{ 3 ! }\)
\(89 = 28 \cdot 3 + 5 \)
\(90 = 32 + 58 \)
\(91 = 2 \cdot 3 + 85 \)
\(92 = ( 5 \cdot 8 + 3! ) \cdot 2 \)
\(93 = 2 \cdot 5 + 83 \)
\(94 = 3^{2} + 85 \)
\(95 = \frac{ 285 }{ 3 }\)
\(96 = ( 8 - 5 ) \cdot 32 \)
\(97 = \frac{ 582 }{ 3 ! }\)
\(98 = 53 \cdot 2 - 8 \)
\(99 = ( 25 + 8 ) \cdot 3 \)
\(100 = 3! \cdot 8 + 52 \)