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