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