All 100 targets have a solution.
\(1 = 84 - 83 \)
\(2 = \frac{ \frac{ 48 }{ 3 } }{ 8 }\)
\(3 = \frac{ 48 }{ 8 } - 3 \)
\(4 = 8 - \sqrt{\frac{ 48 }{ 3 }}\)
\(5 = \frac{ 38 + \sqrt{4} }{ 8 }\)
\(6 = 38 - 4 \cdot 8 \)
\(7 = 88 - 3^{4 }\)
\(8 = \frac{ 48 }{ 3 } - 8 \)
\(9 = \frac{ 48 }{ 8 } + 3 \)
\(10 = 48 - 38 \)
\(11 = \frac{ 38 }{ \sqrt{4} } - 8 \)
\(12 = \sqrt{38 \cdot 4 - 8 }\)
\(13 = \sqrt{3^{4} + 88 }\)
\(14 = 38 - ( 8 - 4 )!\)
\(15 = \frac{ 38 - 8 }{ \sqrt{4 } }\)
\(16 = \frac{ 48 }{ 3! } + 8 \)
\(17 = \sqrt{84 - 3} + 8 \)
\(18 = 34 - 8 - 8 \)
\(19 = \frac{ 38 \cdot 4 }{ 8 }\)
\(20 = \frac{ 84 }{ 3 } - 8 \)
\(21 = 8 \cdot 8 - 43 \)
\(22 = 38 - 4! + 8 \)
\(23 = \frac{ 38 + 8 }{ \sqrt{4 } }\)
\(24 = \frac{ 48 }{ 3 } + 8 \)
\(25 = \frac{ 88 }{ 4 } + 3 \)
\(26 = 38 - 4 - 8 \)
\(27 = 43 - 8 - 8 \)
\(28 = \frac{ 88 - 4 }{ 3 }\)
\(29 = ( 8 - 4 ) \cdot 8 - 3 \)
\(30 = 8 \cdot 8 - 34 \)
\(31 = \frac{ 8 }{ 8 } + 3! + 4 !\)
\(32 = 38 + \sqrt{4} - 8 \)
\(33 = 34 - \frac{ 8 }{ 8 }\)
\(34 = 34 - 8 + 8 \)
\(35 = 83 - 48 \)
\(36 = 38 - \frac{ 8 }{ 4 }\)
\(37 = 48 - 3 - 8 \)
\(38 = \sqrt{8 + 8} + 34 \)
\(39 = 43 - \sqrt{8 + 8 }\)
\(40 = \frac{ 8 }{ 4 } + 38 \)
\(41 = \frac{ 4! }{ 8 } + 38 \)
\(42 = 38 - 4 + 8 \)
\(43 = 43 - 8 + 8 \)
\(44 = \frac{ 8 }{ 8 } + 43 \)
\(45 = 88 - 43 \)
\(46 = 84 - 38 \)
\(47 = \sqrt{8 + 8} + 43 \)
\(48 = \frac{ 384 }{ 8 }\)
\(49 = \sqrt{3^{8}} - 4 \cdot 8 \)
\(50 = 34 + 8 + 8 \)
\(51 = 83 - 4 \cdot 8 \)
\(52 = ( 3 + 8 ) \cdot 4 + 8 \)
\(53 = 48 - 3 + 8 \)
\(54 = 88 - 34 \)
\(55 = 8 \cdot 8 - 3^{\sqrt{4 }}\)
\(56 = ( 8 - ( 4 - 3 ) ) \cdot 8 \)
\(57 = 8 \cdot 8 - 3 - 4 \)
\(58 = \sqrt{8 + 8}! + 34 \)
\(59 = 43 + 8 + 8 \)
\(60 = 84 - 3 \cdot 8 \)
\(61 = 88 - 3 - 4 !\)
\(62 = ( 8 - 4 )! + 38 \)
\(63 = \frac{ 84 \cdot 3! }{ 8 }\)
\(64 = \frac{ 48 }{ 3! } \cdot 8 \)
\(65 = 3^{4} - 8 - 8 \)
\(66 = \frac{ 88 \cdot 3 }{ 4 }\)
\(67 = 83 - 4! + 8 \)
\(68 = 38 \cdot \sqrt{4} - 8 \)
\(69 = 8^{\sqrt{4}} - 3 + 8 \)
\(70 = 4 \cdot 8 + 38 \)
\(71 = 83 - 4 - 8 \)
\(72 = 3 \cdot 8 + 48 \)
\(73 = 84 - 3 - 8 \)
\(74 = 8 \cdot 8 + 3! + 4 \)
\(75 = \sqrt{83^{\sqrt{4}}} - 8 \)
\(76 = \frac{ 38 \cdot 8 }{ 4 }\)
\(77 = 83 + \sqrt{4} - 8 \)
\(78 = 88 - 3! - 4 \)
\(79 = 83 + 4 - 8 \)
\(80 = 83 - \frac{ 4! }{ 8 }\)
\(81 = 83 - \frac{ 8 }{ 4 }\)
\(82 = 84 + 3! - 8 \)
\(83 = \sqrt{83^{\frac{ 8 }{ 4 }}}\)
\(84 = 38 \cdot \sqrt{4} + 8 \)
\(85 = \frac{ 8 }{ 4 } + 83 \)
\(86 = 38 + 48 \)
\(87 = 83 - 4 + 8 \)
\(88 = ( 4 - 3 ) \cdot 88 \)
\(89 = 84 - 3 + 8 \)
\(90 = 88 + 3! - 4 \)
\(91 = \sqrt{83^{\sqrt{4}}} + 8 \)
\(92 = ( 38 + 8 ) \cdot \sqrt{4 }\)
\(93 = 83 + \sqrt{4} + 8 \)
\(94 = 3 \cdot \sqrt{4} + 88 \)
\(95 = 83 + 4 + 8 \)
\(96 = \sqrt{48 \cdot 3} \cdot 8 \)
\(97 = \frac{ 388 }{ 4 }\)
\(98 = 8 \cdot 8 + 34 \)
\(99 = 83 + 4! - 8 \)
\(100 = 3 \cdot 4 + 88 \)