3 5 6 8

All 100 targets have a solution.

\(1 = ( \sqrt{36} - 5 )^{8 }\)
\(2 = \frac{ \sqrt{36} }{ 8 - 5 }\)
\(3 = \sqrt{36} + 5 - 8 \)
\(4 = 5 \cdot 8 - 36 \)
\(5 = 63 - 58 \)
\(6 = \frac{ 36 }{ ( 8 - 5 )! }\)
\(7 = \sqrt{85 - 36 }\)
\(8 = 38 - 5 \cdot 6 \)
\(9 = \sqrt{36} - 5 + 8 \)
\(10 = \frac{ 56 }{ 8 } + 3 \)
\(11 = \sqrt{35 + 86 }\)
\(12 = \frac{ 36 }{ 8 - 5 }\)
\(13 = 6 \cdot 8 - 35 \)
\(14 = \sqrt{38 \cdot 5 + 6 }\)
\(15 = 68 - 53 \)
\(16 = \frac{ 56 - 8 }{ 3 }\)
\(17 = 65 - 3! \cdot 8 \)
\(18 = 56 - 38 \)
\(19 = \frac{ 65 - 8 }{ 3 }\)
\(20 = ( 5 - 3 ) \cdot 6 + 8 \)
\(21 = 35 - 6 - 8 \)
\(22 = 58 - 36 \)
\(23 = 36 - 5 - 8 \)
\(24 = ( 5 \cdot 8 - 36 )!\)
\(25 = 5^{8 - \sqrt{36 }}\)
\(26 = \frac{ ( 5 + 8 ) \cdot 6 }{ 3 }\)
\(27 = 65 - 38 \)
\(28 = \frac{ 56 }{ 8 - 3 ! }\)
\(29 = \sqrt{835 + 6 }\)
\(30 = 36 - ( 8 - 5 )!\)
\(31 = 58 - \sqrt{3^{6 }}\)
\(32 = 56 - 3 \cdot 8 \)
\(33 = 68 - 35 \)
\(34 = \frac{ 68 }{ 5 - 3 }\)
\(35 = 3!! - 685 \)
\(36 = ( 8 - ( 5 - 3 ) ) \cdot 6 \)
\(37 = 35 - 6 + 8 \)
\(38 = ( 6 - 5 ) \cdot 38 \)
\(39 = 36 - 5 + 8 \)
\(40 = 58 - 3 \cdot 6 \)
\(41 = 65 - 3 \cdot 8 \)
\(42 = ( 8 - 5 )! + 36 \)
\(43 = \frac{ 86 }{ 5 - 3 }\)
\(44 = 6^{5 - 3} + 8 \)
\(45 = 56 - 3 - 8 \)
\(46 = 5 \cdot 8 + \sqrt{36 }\)
\(47 = ( 6 + 8 ) \cdot 3 + 5 \)
\(48 = 63 - \frac{ 5! }{ 8 }\)
\(49 = 85 - 36 \)
\(50 = 63 - 5 - 8 \)
\(51 = 86 - 35 \)
\(52 = 58 - \sqrt{36 }\)
\(53 = 68 - 3 \cdot 5 \)
\(54 = 65 - 3 - 8 \)
\(55 = 53 - 6 + 8 \)
\(56 = 58 - \frac{ 6 }{ 3 }\)
\(57 = 5^{3} - 68 \)
\(58 = \frac{ 5! }{ 6 } + 38 \)
\(59 = \frac{ 3! }{ 6 } + 58 \)
\(60 = \frac{ 6 }{ 3 } + 58 \)
\(61 = 56 - 3 + 8 \)
\(62 = 3!! - 658 \)
\(63 = 65 + 3! - 8 \)
\(64 = \sqrt{36} + 58 \)
\(65 = 5! - 63 + 8 \)
\(66 = 63 - 5 + 8 \)
\(67 = \frac{ 536 }{ 8 }\)
\(68 = 5 \cdot 6 + 38 \)
\(69 = ( 8 - 5 )! + 63 \)
\(70 = ( 8 - 6 ) \cdot 35 \)
\(71 = 86 - 3 \cdot 5 \)
\(72 = 83 - 5 - 6 \)
\(73 = 85 - 3! - 6 \)
\(74 = \sqrt{\sqrt{3^{8}}} + 65 \)
\(75 = 86 - 3! - 5 \)
\(76 = 5 \cdot 8 + 36 \)
\(77 = ( 3 + 6 ) \cdot 8 + 5 \)
\(78 = 86 - 3 - 5 \)
\(79 = 85 - \sqrt{36 }\)
\(80 = 3 \cdot 8 + 56 \)
\(81 = ( 5 + 8 ) \cdot 6 + 3 \)
\(82 = 83 + 5 - 6 \)
\(83 = 6 \cdot 8 + 35 \)
\(84 = 83 - 5 + 6 \)
\(85 = \sqrt{3^{6}} + 58 \)
\(86 = \frac{ 3! }{ 6 } + 85 \)
\(87 = \frac{ 6 }{ 3 } + 85 \)
\(88 = 85 - 3 + 6 \)
\(89 = 3 \cdot 8 + 65 \)
\(90 = ( 3 \cdot 8 - 6 ) \cdot 5 \)
\(91 = \sqrt{36} + 85 \)
\(92 = 5! - 36 + 8 \)
\(93 = 5! - \frac{ 6^{3} }{ 8 }\)
\(94 = 36 + 58 \)
\(95 = \frac{ \sqrt{36}! }{ 8 } + 5 \)
\(96 = ( 5 - 3 ) \cdot 6 \cdot 8 \)
\(97 = 85 + 3! + 6 \)
\(98 = 3! \cdot 5 + 68 \)
\(99 = \sqrt{\frac{ 6! }{ 5 }} \cdot 8 + 3 \)
\(100 = \frac{ ( 8 - 3 ) \cdot 5! }{ 6 }\)