All 100 targets have a solution.
\(1 = 3 \cdot 8 - 23 \)
\(2 = \sqrt{28 - 3} - 3 \)
\(3 = \sqrt{33 - 8} - 2 \)
\(4 = \frac{ 32 - 8 }{ 3 ! }\)
\(5 = 33 - 28 \)
\(6 = 38 - 32 \)
\(7 = \sqrt{82 - 33 }\)
\(8 = \frac{ 32 - 8 }{ 3 }\)
\(9 = 23 - 3! - 8 \)
\(10 = 28 - 3 \cdot 3 !\)
\(11 = ( 3 - 2 ) \cdot 3 + 8 \)
\(12 = 23 - 3 - 8 \)
\(13 = \sqrt{\frac{ 338 }{ 2 }}\)
\(14 = \frac{ 28 \cdot 3 }{ 3 ! }\)
\(15 = 38 - 23 \)
\(16 = \frac{ 8^{3} }{ 32 }\)
\(17 = \sqrt{283 + 3 !}\)
\(18 = \sqrt{332 - 8 }\)
\(19 = 28 - 3 \cdot 3 \)
\(20 = 3^{2} + 3 + 8 \)
\(21 = 32 - 3 - 8 \)
\(22 = 28 - 3 - 3 \)
\(23 = 33 - 2 - 8 \)
\(24 = \frac{ 32 \cdot 3! }{ 8 }\)
\(25 = 23 - 3! + 8 \)
\(26 = \sqrt{338 \cdot 2 }\)
\(27 = 28 - \frac{ 3 }{ 3 }\)
\(28 = 23 - 3 + 8 \)
\(29 = \frac{ 3 }{ 3 } + 28 \)
\(30 = 38 - 2^{3 }\)
\(31 = 8^{2} - 33 \)
\(32 = 38 - 2 \cdot 3 \)
\(33 = 38 - 2 - 3 \)
\(34 = 23 + 3 + 8 \)
\(35 = \sqrt{\frac{ 8 }{ 2 }} + 33 \)
\(36 = \frac{ 8 }{ 2 } \cdot 3 \cdot 3 \)
\(37 = 3 \cdot 3 + 28 \)
\(38 = ( 3 - 2 ) \cdot 38 \)
\(39 = 33 - 2 + 8 \)
\(40 = \frac{ 83 - 3 }{ 2 }\)
\(41 = \sqrt{33^{2}} + 8 \)
\(42 = 38 - 2 + 3 !\)
\(43 = 32 + 3 + 8 \)
\(44 = 2 \cdot 3 + 38 \)
\(45 = ( 23 - 8 ) \cdot 3 \)
\(46 = 2^{3} + 38 \)
\(47 = 3 \cdot 8 + 23 \)
\(48 = \sqrt{32 \cdot 8} \cdot 3 \)
\(49 = 82 - 33 \)
\(50 = ( 33 - 8 ) \cdot 2 \)
\(51 = 83 - 32 \)
\(52 = ( 3 \cdot 3! + 8 ) \cdot 2 \)
\(53 = 2^{3!} - 3 - 8 \)
\(54 = ( 8 - 2 ) \cdot 3 \cdot 3 \)
\(55 = 3^{3} + 28 \)
\(56 = 3 \cdot 8 + 32 \)
\(57 = \frac{ 38 }{ 2 } \cdot 3 \)
\(58 = 33 \cdot 2 - 8 \)
\(59 = 83 - ( 3! - 2 )!\)
\(60 = 83 - 23 \)
\(61 = 23 + 38 \)
\(62 = 3^{3} \cdot 2 + 8 \)
\(63 = 8^{2} - \frac{ 3 }{ 3 }\)
\(64 = ( \frac{ 32 }{ 8 } )^{3 }\)
\(65 = 8^{2} + \frac{ 3 }{ 3 }\)
\(66 = ( 28 - 3! ) \cdot 3 \)
\(67 = 2^{3} \cdot 8 + 3 \)
\(68 = ( 3 + 8 ) \cdot 3! + 2 \)
\(69 = 3^{2} \cdot 8 - 3 \)
\(70 = 32 + 38 \)
\(71 = 3! \cdot 8 + 23 \)
\(72 = ( 32 - 8 ) \cdot 3 \)
\(73 = 38 \cdot 2 - 3 \)
\(74 = 33 \cdot 2 + 8 \)
\(75 = ( 28 - 3 ) \cdot 3 \)
\(76 = 82 - 3 - 3 \)
\(77 = 23 \cdot 3 + 8 \)
\(78 = 83 - 2 - 3 \)
\(79 = 38 \cdot 2 + 3 \)
\(80 = 3! \cdot 8 + 32 \)
\(81 = 28 \cdot 3 - 3 \)
\(82 = ( 33 + 8 ) \cdot 2 \)
\(83 = \frac{ 3 }{ 3 } + 82 \)
\(84 = 83 - 2 + 3 \)
\(85 = 82 - 3 + 3 !\)
\(86 = \sqrt{83^{2}} + 3 \)
\(87 = 28 \cdot 3 + 3 \)
\(88 = 32 \cdot 3 - 8 \)
\(89 = 2 \cdot 3 + 83 \)
\(90 = ( 23 - 8 ) \cdot 3 !\)
\(91 = 3 \cdot 3 + 82 \)
\(92 = 3^{2} + 83 \)
\(93 = ( 23 + 8 ) \cdot 3 \)
\(94 = \frac{ 32 + 3!! }{ 8 }\)
\(95 = 2 \cdot 3! + 83 \)
\(96 = ( 3^{2} + 3 ) \cdot 8 \)
\(97 = 8^{2} + 33 \)
\(98 = \frac{ 3!! }{ 2^{3} } + 8 \)
\(99 = 3^{2} \cdot ( 3 + 8 )\)
\(100 = 3 \cdot 3! + 82 \)