All 100 targets have a solution.
\(1 = 38^{4 - 4 }\)
\(2 = 34 - 4 \cdot 8 \)
\(3 = 84 - 3^{4 }\)
\(4 = \sqrt{\frac{ 384 }{ 4 ! }}\)
\(5 = 48 - 43 \)
\(6 = 44 - 38 \)
\(7 = \frac{ \frac{ 84 }{ 3 } }{ 4 }\)
\(8 = \sqrt{\frac{ 48 }{ 3 }} + 4 \)
\(9 = \frac{ 48 }{ 4 } - 3 \)
\(10 = 34 - ( 8 - 4 )!\)
\(11 = 43 - 4 \cdot 8 \)
\(12 = \frac{ 44 - 8 }{ 3 }\)
\(13 = \frac{ 34 - 8 }{ \sqrt{4 } }\)
\(14 = 48 - 34 \)
\(15 = \frac{ 48 }{ 4 } + 3 \)
\(16 = \frac{ 384 }{ 4 ! }\)
\(17 = \frac{ 34 \cdot 4 }{ 8 }\)
\(18 = \sqrt{348 - 4 !}\)
\(19 = \sqrt{484} - 3 \)
\(20 = 44 - 3 \cdot 8 \)
\(21 = \frac{ 34 + 8 }{ \sqrt{4 } }\)
\(22 = 34 - 4 - 8 \)
\(23 = \frac{ 38 }{ \sqrt{4} } + 4 \)
\(24 = \frac{ 84 }{ 3 } - 4 \)
\(25 = \sqrt{484} + 3 \)
\(26 = \frac{ 84 }{ 3 } - \sqrt{4 }\)
\(27 = 43 - 4! + 8 \)
\(28 = \sqrt{484} + 3 !\)
\(29 = \sqrt{844 - 3 }\)
\(30 = 34 + 4 - 8 \)
\(31 = 43 - 4 - 8 \)
\(32 = 34 - \frac{ 8 }{ 4 }\)
\(33 = 44 - 3 - 8 \)
\(34 = \sqrt{34^{\frac{ 8 }{ 4 }}}\)
\(35 = \frac{ 4^{4} }{ 8 } + 3 \)
\(36 = \frac{ 8 }{ 4 } + 34 \)
\(37 = 38 - \frac{ 4 }{ 4 }\)
\(38 = 34 - 4 + 8 \)
\(39 = 83 - 44 \)
\(40 = 34 - \sqrt{4} + 8 \)
\(41 = 84 - 43 \)
\(42 = \sqrt{4 \cdot 4} + 38 \)
\(43 = \frac{ 344 }{ 8 }\)
\(44 = 34 + \sqrt{4} + 8 \)
\(45 = \frac{ 8 }{ 4 } + 43 \)
\(46 = 34 + 4 + 8 \)
\(47 = 43 - 4 + 8 \)
\(48 = ( 4 - 3 ) \cdot 48 \)
\(49 = 44 - 3 + 8 \)
\(50 = 84 - 34 \)
\(51 = ( 4 + 8 ) \cdot 4 + 3 \)
\(52 = ( 34 - 8 ) \cdot \sqrt{4 }\)
\(53 = 43 + \sqrt{4} + 8 \)
\(54 = 4 \cdot 4 + 38 \)
\(55 = 43 + 4 + 8 \)
\(56 = ( 38 - 4! ) \cdot 4 \)
\(57 = 3^{\sqrt{4}} + 48 \)
\(58 = ( 8 - 4 )! + 34 \)
\(59 = 43 + 4! - 8 \)
\(60 = 3 \cdot 4 + 48 \)
\(61 = ( 4 + 4 ) \cdot 8 - 3 \)
\(62 = \sqrt{3844 }\)
\(63 = \frac{ 84 \cdot 3 }{ 4 }\)
\(64 = \frac{ 48 }{ 3 } \cdot 4 \)
\(65 = 3^{4} - 4! + 8 \)
\(66 = \sqrt{484} \cdot 3 \)
\(67 = 83 - 4 \cdot 4 \)
\(68 = \frac{ 34 \cdot 8 }{ 4 }\)
\(69 = 48 - 3 + 4 !\)
\(70 = ( 43 - 8 ) \cdot \sqrt{4 }\)
\(71 = 83 - \frac{ 4! }{ \sqrt{4 } }\)
\(72 = 84 - 3 \cdot 4 \)
\(73 = 3^{\sqrt{4 \cdot 4}} - 8 \)
\(74 = 84 - 3! - 4 \)
\(75 = 4 \cdot 8 + 43 \)
\(76 = 34 \cdot \sqrt{4} + 8 \)
\(77 = 84 - 3 - 4 \)
\(78 = 43 \cdot \sqrt{4} - 8 \)
\(79 = 83 - \sqrt{4 \cdot 4 }\)
\(80 = ( 34 - 4! ) \cdot 8 \)
\(81 = 83 - 4 + \sqrt{4 }\)
\(82 = 34 + 48 \)
\(83 = 83 - 4 + 4 \)
\(84 = \frac{ 4 }{ 4 } + 83 \)
\(85 = 84 - 3 + 4 \)
\(86 = \frac{ 43 \cdot 8 }{ 4 }\)
\(87 = \frac{ 348 }{ 4 }\)
\(88 = ( 8 - 3! ) \cdot 44 \)
\(89 = 83 + \sqrt{4} + 4 \)
\(90 = ( 48 - 3 ) \cdot \sqrt{4 }\)
\(91 = 43 + 48 \)
\(92 = 3! \cdot 8 + 44 \)
\(93 = 48 \cdot \sqrt{4} - 3 \)
\(94 = 43 \cdot \sqrt{4} + 8 \)
\(95 = \frac{ 4! }{ \sqrt{4} } + 83 \)
\(96 = \frac{ 384 }{ 4 }\)
\(97 = 3^{4} + 4! - 8 \)
\(98 = 8^{\sqrt{4}} + 34 \)
\(99 = 4 \cdot 4 + 83 \)
\(100 = 3 \cdot 4 \cdot 8 + 4 \)