All 100 targets have a solution.
\(1 = ( 9 - 8 )^{26 }\)
\(2 = \frac{ 26 - 8 }{ 9 }\)
\(3 = \sqrt{26 - 8 - 9 }\)
\(4 = \sqrt{92 + 8} - 6 \)
\(5 = 69 - 8^{2 }\)
\(6 = 92 - 86 \)
\(7 = 9 - \frac{ 8 }{ 6 - 2 }\)
\(8 = \sqrt{98 \cdot 2} - 6 \)
\(9 = 26 - 8 - 9 \)
\(10 = 8 \cdot 9 - 62 \)
\(11 = \sqrt{289} - 6 \)
\(12 = \frac{ \sqrt{96^{2}} }{ 8 }\)
\(13 = 82 - 69 \)
\(14 = 96 - 82 \)
\(15 = 29 - 6 - 8 \)
\(16 = \frac{ 96 }{ 8 - 2 }\)
\(17 = \sqrt{286 + \sqrt{9 }}\)
\(18 = \frac{ 62 - 8 }{ \sqrt{9 } }\)
\(19 = 6 \cdot 8 - 29 \)
\(20 = \sqrt{98 \cdot 2} + 6 \)
\(21 = 26 - 8 + \sqrt{9 }\)
\(22 = \sqrt{\frac{ 968 }{ 2 }}\)
\(23 = \sqrt{289} + 6 \)
\(24 = 92 - 68 \)
\(25 = 26 + 8 - 9 \)
\(26 = ( 9 - 8 ) \cdot 26 \)
\(27 = 89 - 62 \)
\(28 = 82 - 6 \cdot 9 \)
\(29 = \sqrt{29^{8 - 6 }}\)
\(30 = \frac{ 6 }{ \sqrt{9} } + 28 \)
\(31 = 28 - 6 + 9 \)
\(32 = 96 - 8^{2 }\)
\(33 = \frac{ 6 }{ 2 } \cdot 8 + 9 \)
\(34 = \frac{ 86 }{ 2 } - 9 \)
\(35 = 6^{2} + 8 - 9 \)
\(36 = 98 - 62 \)
\(37 = \frac{ 296 }{ 8 }\)
\(38 = 62 - 8 \cdot \sqrt{9 }\)
\(39 = 68 - 29 \)
\(40 = \frac{ 96 }{ 2 } - 8 \)
\(41 = 69 - 28 \)
\(42 = \frac{ 28 \cdot 9 }{ 6 }\)
\(43 = 26 + 8 + 9 \)
\(44 = \sqrt{968 \cdot 2 }\)
\(45 = 62 - 8 - 9 \)
\(46 = 8 \cdot 9 - 26 \)
\(47 = 2^{6} - 8 - 9 \)
\(48 = \frac{ 96 }{ \sqrt{\frac{ 8 }{ 2 }} }\)
\(49 = \frac{ 98 }{ \sqrt{6 - 2 } }\)
\(50 = 68 - 2 \cdot 9 \)
\(51 = 62 - 8 - \sqrt{9 }\)
\(52 = \frac{ 86 }{ 2 } + 9 \)
\(53 = 69 - 2 \cdot 8 \)
\(54 = ( 26 - 8 ) \cdot \sqrt{9 }\)
\(55 = \frac{ 98 }{ 2 } + 6 \)
\(56 = \frac{ 96 }{ 2 } + 8 \)
\(57 = 86 - 29 \)
\(58 = ( 8 - 6 ) \cdot 29 \)
\(59 = 69 - 2 - 8 \)
\(60 = 68 - 2^{\sqrt{9 }}\)
\(61 = 62 + 8 - 9 \)
\(62 = ( 9 - 8 ) \cdot 62 \)
\(63 = 89 - 26 \)
\(64 = 82 - 6 \cdot \sqrt{9 }\)
\(65 = 69 - \frac{ 8 }{ 2 }\)
\(66 = ( 28 - 6 ) \cdot \sqrt{9 }\)
\(67 = 82 - 6 - 9 \)
\(68 = 96 - 28 \)
\(69 = \frac{ 92 \cdot 6 }{ 8 }\)
\(70 = 26 \cdot \sqrt{9} - 8 \)
\(71 = \sqrt{\frac{ 8 }{ 2 }} + 69 \)
\(72 = 98 - 26 \)
\(73 = \frac{ 8 }{ 2 } + 69 \)
\(74 = 2 \cdot \sqrt{9} + 68 \)
\(75 = 68 - 2 + 9 \)
\(76 = 2^{\sqrt{9}} + 68 \)
\(77 = 6 \cdot 8 + 29 \)
\(78 = 92 - 6 - 8 \)
\(79 = 62 + 8 + 9 \)
\(80 = 96 - 2 \cdot 8 \)
\(81 = 89 - 2 - 6 \)
\(82 = 6 \cdot 9 + 28 \)
\(83 = \sqrt{89^{2}} - 6 \)
\(84 = ( 9 - 6 ) \cdot 28 \)
\(85 = 2 \cdot 8 + 69 \)
\(86 = 2 \cdot 9 + 68 \)
\(87 = 86 - 2 + \sqrt{9 }\)
\(88 = ( 9 - 6 )! + 82 \)
\(89 = \sqrt{86^{2}} + \sqrt{9 }\)
\(90 = 92 + 6 - 8 \)
\(91 = 82 + 6 + \sqrt{9 }\)
\(92 = \frac{ 6 }{ 2 } + 89 \)
\(93 = 86 - 2 + 9 \)
\(94 = 92 - 6 + 8 \)
\(95 = 98 - \frac{ 6 }{ 2 }\)
\(96 = 98 - \sqrt{6 - 2 }\)
\(97 = 28 + 69 \)
\(98 = 8 \cdot 9 + 26 \)
\(99 = ( \frac{ 6 }{ 2 } + 8 ) \cdot 9 \)
\(100 = \frac{ 8 }{ 2 } + 96 \)