All 100 targets have a solution.
\(1 = \frac{ \frac{ 24 }{ 3 } }{ 8 }\)
\(2 = \sqrt{42 - 38 }\)
\(3 = \sqrt{4 \cdot 8 - 23 }\)
\(4 = 42 - 38 \)
\(5 = \sqrt{48 - 23 }\)
\(6 = 34 - 28 \)
\(7 = 8 - ( 4! - 23 )\)
\(8 = \frac{ 28 - 4 }{ 3 }\)
\(9 = 4 \cdot 8 - 23 \)
\(10 = \sqrt{324} - 8 \)
\(11 = 23 - 4 - 8 \)
\(12 = \sqrt{\sqrt{324} \cdot 8 }\)
\(13 = 24 - 3 - 8 \)
\(14 = 38 - 24 \)
\(15 = 43 - 28 \)
\(16 = 48 - 32 \)
\(17 = \frac{ 38 - 4 }{ 2 }\)
\(18 = \sqrt{328 - 4 }\)
\(19 = 23 + 4 - 8 \)
\(20 = 32 - 4 - 8 \)
\(21 = 23 - \frac{ 8 }{ 4 }\)
\(22 = 38 - 2^{4 }\)
\(23 = \frac{ 38 }{ 2 } + 4 \)
\(24 = ( 42 - 38 )!\)
\(25 = 48 - 23 \)
\(26 = \sqrt{324} + 8 \)
\(27 = 23 - 4 + 8 \)
\(28 = ( 4 - 3 ) \cdot 28 \)
\(29 = \sqrt{843 - 2 }\)
\(30 = 32 - \frac{ 8 }{ 4 }\)
\(31 = 42 - 3 - 8 \)
\(32 = 38 - 2 - 4 \)
\(33 = 43 - 2 - 8 \)
\(34 = \frac{ 8 }{ 4 } + 32 \)
\(35 = 23 + 4 + 8 \)
\(36 = 4^{3} - 28 \)
\(37 = 42 + 3 - 8 \)
\(38 = \frac{ 8 }{ 2 } + 34 \)
\(39 = 82 - 43 \)
\(40 = 3 \cdot 4 + 28 \)
\(41 = 83 - 42 \)
\(42 = 48 - 2 \cdot 3 \)
\(43 = 48 - 2 - 3 \)
\(44 = 32 + 4 + 8 \)
\(45 = \frac{ 84 }{ 2 } + 3 \)
\(46 = \frac{ 23 \cdot 8 }{ 4 }\)
\(47 = 42 - 3 + 8 \)
\(48 = 82 - 34 \)
\(49 = 43 - 2 + 8 \)
\(50 = 2 \cdot 8 + 34 \)
\(51 = \sqrt{43^{2}} + 8 \)
\(52 = 84 - 32 \)
\(53 = 3^{4} - 28 \)
\(54 = \frac{ 432 }{ 8 }\)
\(55 = 4 \cdot 8 + 23 \)
\(56 = 2^{3} + 48 \)
\(57 = 3^{2} + 48 \)
\(58 = ( \frac{ 8 }{ 2 } )! + 34 \)
\(59 = 83 - 24 \)
\(60 = ( 23 - 8 ) \cdot 4 \)
\(61 = 84 - 23 \)
\(62 = 24 + 38 \)
\(63 = 8^{2} + 3 - 4 \)
\(64 = \frac{ 24 }{ 3 } \cdot 8 \)
\(65 = 8^{2} - 3 + 4 \)
\(66 = 3 \cdot 8 + 42 \)
\(67 = 83 - 2^{4 }\)
\(68 = ( 38 - 4 ) \cdot 2 \)
\(69 = \frac{ 23 \cdot 4! }{ 8 }\)
\(70 = ( 43 - 8 ) \cdot 2 \)
\(71 = 23 + 48 \)
\(72 = ( 28 - 4 ) \cdot 3 \)
\(73 = 82 - 3^{\sqrt{4 }}\)
\(74 = 38 \cdot 2 - \sqrt{4 }\)
\(75 = 82 - 3 - 4 \)
\(76 = 34 \cdot 2 + 8 \)
\(77 = 83 - 2 - 4 \)
\(78 = 43 \cdot 2 - 8 \)
\(79 = 84 - 2 - 3 \)
\(80 = 32 + 48 \)
\(81 = 82 + 3 - 4 \)
\(82 = \frac{ 328 }{ 4 }\)
\(83 = 82 - 3 + 4 \)
\(84 = 23 \cdot 4 - 8 \)
\(85 = 83 - 2 + 4 \)
\(86 = 28 \cdot 3 + \sqrt{4 }\)
\(87 = 8^{\sqrt{4}} + 23 \)
\(88 = 28 \cdot 3 + 4 \)
\(89 = 82 + 3 + 4 \)
\(90 = ( 48 - 3 ) \cdot 2 \)
\(91 = 2 \cdot 4 + 83 \)
\(92 = ( 8 - 4 ) \cdot 23 \)
\(93 = 48 \cdot 2 - 3 \)
\(94 = 43 \cdot 2 + 8 \)
\(95 = \frac{ 4! }{ 2 } + 83 \)
\(96 = ( 24 + 8 ) \cdot 3 \)
\(97 = 2 \cdot 8 + 3^{4 }\)
\(98 = 8^{2} + 34 \)
\(99 = 48 \cdot 2 + 3 \)
\(100 = 23 \cdot 4 + 8 \)