All 100 targets have a solution.
\(1 = 8 - \frac{ 63 }{ 9 }\)
\(2 = \frac{ 8 }{ \frac{ 36 }{ 9 } }\)
\(3 = \frac{ ( \frac{ 36 }{ 9 } )! }{ 8 }\)
\(4 = 8 - \frac{ 36 }{ 9 }\)
\(5 = \sqrt{93 - 68 }\)
\(6 = 8 - \sqrt{\frac{ 36 }{ 9 }}\)
\(7 = 93 - 86 \)
\(8 = \sqrt{63 - 8 + 9 }\)
\(9 = 6 \cdot 8 - 39 \)
\(10 = \sqrt{\frac{ 36 }{ 9 }} + 8 \)
\(11 = 8 - \sqrt{36} + 9 \)
\(12 = \frac{ 36 }{ 9 } + 8 \)
\(13 = 96 - 83 \)
\(14 = 83 - 69 \)
\(15 = \frac{ 63 }{ 9 } + 8 \)
\(16 = 6 \cdot 9 - 38 \)
\(17 = ( 8 - 6 )^{3} + 9 \)
\(18 = ( 8 - \sqrt{36} ) \cdot 9 \)
\(19 = \sqrt{369 - 8 }\)
\(20 = \frac{ 36 }{ \sqrt{9} } + 8 \)
\(21 = 69 - 3! \cdot 8 \)
\(22 = 3!! - 698 \)
\(23 = 38 - 6 - 9 \)
\(24 = \frac{ 96 }{ 3 } - 8 \)
\(25 = 93 - 68 \)
\(26 = 89 - 63 \)
\(27 = 83 \cdot 9 - 6 !\)
\(28 = ( 9 - 3 ) \cdot 6 - 8 \)
\(29 = 68 - 39 \)
\(30 = ( 8 - \frac{ 9 }{ 3 } ) \cdot 6 \)
\(31 = 69 - 38 \)
\(32 = \frac{ 36 \cdot 8 }{ 9 }\)
\(33 = ( 6 - 3 ) \cdot 8 + 9 \)
\(34 = \frac{ ( 8 + 9 ) \cdot 6 }{ 3 }\)
\(35 = 98 - 63 \)
\(36 = ( 9 - 8 ) \cdot 36 \)
\(37 = 36 - 8 + 9 \)
\(38 = 36 + 8 - \sqrt{9 }!\)
\(39 = \sqrt{36} \cdot 8 - 9 \)
\(40 = \frac{ 96 }{ 3 } + 8 \)
\(41 = 38 - 6 + 9 \)
\(42 = \frac{ 6! }{ 9 } - 38 \)
\(43 = 6 \cdot 9 - 3 - 8 \)
\(44 = ( 9 - 6 )! + 38 \)
\(45 = 69 - 3 \cdot 8 \)
\(46 = 63 - 8 - 9 \)
\(47 = 86 - 39 \)
\(48 = \sqrt{96 \cdot 3 \cdot 8 }\)
\(49 = \frac{ 98 \cdot 3 }{ 6 }\)
\(50 = 36 + 8 + \sqrt{9 }!\)
\(51 = \frac{ 6! }{ 8 } - 39 \)
\(52 = \frac{ 39 \cdot 8 }{ 6 }\)
\(53 = 89 - 36 \)
\(54 = ( 8 - \frac{ 6 }{ 3 } ) \cdot 9 \)
\(55 = 69 - 3! - 8 \)
\(56 = \frac{ 63 \cdot 8 }{ 9 }\)
\(57 = \frac{ 38 \cdot 9 }{ 6 }\)
\(58 = 96 - 38 \)
\(59 = 86 - 3 \cdot 9 \)
\(60 = 8 \cdot \sqrt{9} + 36 \)
\(61 = 63 - 8 + \sqrt{9 }!\)
\(62 = 98 - 36 \)
\(63 = ( 9 - 8 ) \cdot 63 \)
\(64 = 63 - 8 + 9 \)
\(65 = 68 - \frac{ 9 }{ 3 }\)
\(66 = 8 \cdot 9 - \sqrt{36 }\)
\(67 = 68 - \frac{ 3 }{ \sqrt{9 } }\)
\(68 = 83 - 6 - 9 \)
\(69 = \frac{ 3 }{ \sqrt{9} } + 68 \)
\(70 = 8 \cdot 9 - \frac{ 6 }{ 3 }\)
\(71 = \frac{ 9 }{ 3 } + 68 \)
\(72 = 96 - 3 \cdot 8 \)
\(73 = 8^{\frac{ 6 }{ 3 }} + 9 \)
\(74 = 68 - 3 + 9 \)
\(75 = ( 3 + 8 ) \cdot 6 + 9 \)
\(76 = \frac{ 38 \cdot 6 }{ \sqrt{9 } }\)
\(77 = 3 \cdot \sqrt{9} + 68 \)
\(78 = ( 8 - 6 ) \cdot 39 \)
\(79 = 93 - 6 - 8 \)
\(80 = 63 + 8 + 9 \)
\(81 = 9^{8 - \sqrt{36 }}\)
\(82 = \sqrt{9}!! - 638 \)
\(83 = 89 - \sqrt{36 }\)
\(84 = ( 36 - 8 ) \cdot \sqrt{9 }\)
\(85 = 96 - 3 - 8 \)
\(86 = 83 - 6 + 9 \)
\(87 = 6 \cdot 8 + 39 \)
\(88 = 89 - \frac{ 3! }{ 6 }\)
\(89 = \frac{ 9 }{ 3 } + 86 \)
\(90 = \frac{ 3! }{ 6 } + 89 \)
\(91 = \frac{ 6 }{ 3 } + 89 \)
\(92 = 98 - \sqrt{36 }\)
\(93 = 3 \cdot 8 + 69 \)
\(94 = 96 + 3! - 8 \)
\(95 = \sqrt{36} + 89 \)
\(96 = 98 - \frac{ 6 }{ 3 }\)
\(97 = 98 - \frac{ 3! }{ 6 }\)
\(98 = 83 + 6 + 9 \)
\(99 = \frac{ 3! }{ 6 } + 98 \)
\(100 = \frac{ 6 }{ 3 } + 98 \)