All 100 targets have a solution.
\(1 = 5 - \sqrt{\frac{ 48 }{ 3 }}\)
\(2 = \sqrt{\sqrt{54 - 38 }}\)
\(3 = 35 - 4 \cdot 8 \)
\(4 = \sqrt{54 - 38 }\)
\(5 = 53 - 48 \)
\(6 = 5 \cdot 8 - 34 \)
\(7 = 45 - 38 \)
\(8 = \frac{ 38 + \sqrt{4} }{ 5 }\)
\(9 = \frac{ 45 }{ 8 - 3 }\)
\(10 = \frac{ 54 }{ 3 } - 8 \)
\(11 = \frac{ 48 }{ 3 } - 5 \)
\(12 = \sqrt{\frac{ 54 }{ 3 } \cdot 8 }\)
\(13 = 48 - 35 \)
\(14 = \frac{ 38 }{ \sqrt{4} } - 5 \)
\(15 = 58 - 43 \)
\(16 = 54 - 38 \)
\(17 = \sqrt{48 \cdot 3} + 5 \)
\(18 = 38 - 4 \cdot 5 \)
\(19 = \sqrt{385 - 4 !}\)
\(20 = \sqrt{\frac{ 48 }{ 3 }} \cdot 5 \)
\(21 = 34 - 5 - 8 \)
\(22 = \frac{ 83 + 5 }{ 4 }\)
\(23 = 35 - 4 - 8 \)
\(24 = 58 - 34 \)
\(25 = 35 - \sqrt{4} - 8 \)
\(26 = \frac{ 54 }{ 3 } + 8 \)
\(27 = \frac{ 85 - 4 }{ 3 }\)
\(28 = 34 - ( 8 - 5 )!\)
\(29 = 83 - 54 \)
\(30 = 43 - 5 - 8 \)
\(31 = 84 - 53 \)
\(32 = 35 - \frac{ 4! }{ 8 }\)
\(33 = 35 - \frac{ 8 }{ 4 }\)
\(34 = 45 - 3 - 8 \)
\(35 = \sqrt{35^{\frac{ 8 }{ 4 }}}\)
\(36 = \sqrt{3^{8}} - 45 \)
\(37 = 34 - 5 + 8 \)
\(38 = 83 - 45 \)
\(39 = 35 - 4 + 8 \)
\(40 = 43 + 5 - 8 \)
\(41 = 53 - 4 - 8 \)
\(42 = 85 - 43 \)
\(43 = 54 - 3 - 8 \)
\(44 = \frac{ 83 + 5 }{ \sqrt{4 } }\)
\(45 = 35 + \sqrt{4} + 8 \)
\(46 = 43 - 5 + 8 \)
\(47 = 34 + 5 + 8 \)
\(48 = \sqrt{4} \cdot 5 + 38 \)
\(49 = 84 - 35 \)
\(50 = 45 - 3 + 8 \)
\(51 = 85 - 34 \)
\(52 = 54 + 3! - 8 \)
\(53 = \sqrt{53^{\frac{ 8 }{ 4 }}}\)
\(54 = ( 35 - 8 ) \cdot \sqrt{4 }\)
\(55 = \frac{ 8 }{ 4 } + 53 \)
\(56 = 43 + 5 + 8 \)
\(57 = 53 - 4 + 8 \)
\(58 = 4 \cdot 5 + 38 \)
\(59 = 54 - 3 + 8 \)
\(60 = \frac{ 45 \cdot 8 }{ 3 ! }\)
\(61 = 85 - 3! \cdot 4 \)
\(62 = 35 \cdot \sqrt{4} - 8 \)
\(63 = 3 \cdot 5 + 48 \)
\(64 = 3 \cdot \sqrt{4} + 58 \)
\(65 = 53 + 4 + 8 \)
\(66 = ( 38 - 5 ) \cdot \sqrt{4 }\)
\(67 = 4 \cdot 8 + 35 \)
\(68 = \frac{ 5! }{ 4 } + 38 \)
\(69 = 3 \cdot 8 + 45 \)
\(70 = \frac{ 35 \cdot 8 }{ 4 }\)
\(71 = 38 \cdot \sqrt{4} - 5 \)
\(72 = \frac{ 54 }{ 3! } \cdot 8 \)
\(73 = 85 - 3 \cdot 4 \)
\(74 = 5 \cdot 8 + 34 \)
\(75 = ( 8 - 3 )! - 45 \)
\(76 = 84 - 3 - 5 \)
\(77 = 5^{3} - 48 \)
\(78 = 3 \cdot 8 + 54 \)
\(79 = 58 - 3 + 4 !\)
\(80 = \frac{ 48 }{ 3 } \cdot 5 \)
\(81 = 38 \cdot \sqrt{4} + 5 \)
\(82 = 83 + 4 - 5 \)
\(83 = 35 + 48 \)
\(84 = 83 - 4 + 5 \)
\(85 = 4 \cdot 8 + 53 \)
\(86 = 84 - 3 + 5 \)
\(87 = \frac{ 58 \cdot 3 }{ \sqrt{4 } }\)
\(88 = ( 35 - 4! ) \cdot 8 \)
\(89 = ( 5 - \sqrt{4} )! + 83 \)
\(90 = ( 8 - 3! ) \cdot 45 \)
\(91 = 3 \cdot \sqrt{4} + 85 \)
\(92 = 34 + 58 \)
\(93 = 3! \cdot 8 + 45 \)
\(94 = 5! - 34 + 8 \)
\(95 = \frac{ 38 }{ \sqrt{4} } \cdot 5 \)
\(96 = ( 5 - 3 ) \cdot 48 \)
\(97 = 3 \cdot 4 + 85 \)
\(98 = 53 \cdot \sqrt{4} - 8 \)
\(99 = 3 \cdot 5 + 84 \)
\(100 = ( 3 \cdot 4 + 8 ) \cdot 5 \)