99 of 100 targets have a solution.
\(1 = 69 - 68 \)
\(2 = \frac{ \frac{ 96 }{ 6 } }{ 8 }\)
\(3 = \frac{ \sqrt{96 \cdot 6} }{ 8 }\)
\(4 = 8 - \sqrt{\frac{ 96 }{ 6 }}\)
\(5 = 9 - ( 6 + 6 - 8 )\)
\(6 = 8 \cdot 9 - 66 \)
\(7 = \sqrt{66 - 8 - 9 }\)
\(8 = \frac{ 96 }{ 6 } - 8 \)
\(9 = ( 6 - 6 ) \cdot 8 + 9 \)
\(10 = 96 - 86 \)
\(11 = 6 + 6 + 8 - 9 \)
\(12 = \frac{ 6! }{ 9 } - 68 \)
\(13 = 6 + 6 - 8 + 9 \)
\(14 = 68 - 6 \cdot 9 \)
\(15 = \sqrt{\sqrt{9}^{8}} - 66 \)
\(16 = \sqrt{96 \cdot 6} - 8 \)
\(17 = 86 - 69 \)
\(18 = \frac{ 96 }{ 8 } + 6 \)
\(19 = 6 \cdot 6 - 8 - 9 \)
\(20 = \frac{ ( 6 + 9 ) \cdot 8 }{ 6 }\)
\(21 = 69 - 6 \cdot 8 \)
\(22 = 6! - 698 \)
\(23 = 89 - 66 \)
\(24 = \frac{ 96 }{ 6 } + 8 \)
\(25 = \sqrt{6! - 86 - 9 }\)
\(26 = ( 9 - 6 ) \cdot 6 + 8 \)
\(27 = \frac{ 6 }{ 8 - 6 } \cdot 9 \)
\(28 = 96 - 68 \)
\(29 = 6 + 6 + 8 + 9 \)
\(30 = \frac{ 66 }{ \sqrt{9} } + 8 \)
\(31 = 6! - 689 \)
\(32 = 98 - 66 \)
\(33 = 6 \cdot 8 - 6 - 9 \)
\(34 = \frac{ 68 \cdot \sqrt{9} }{ 6 }\)
\(35 = 6 \cdot 6 + 8 - 9 \)
\(36 = ( 6 + 6 - 8 ) \cdot 9 \)
\(37 = 6 \cdot 6 - 8 + 9 \)
\(38 = 6 \cdot 6 + 8 - \sqrt{9 }!\)
\(39 = 6^{8 - 6} + \sqrt{9 }\)
\(40 = 6 \cdot 9 - 6 - 8 \)
\(41 = 68 - \sqrt{\sqrt{9}^{6 }}\)
\(42 = 66 - 8 \cdot \sqrt{9 }\)
\(43 = \frac{ 86 \cdot \sqrt{9} }{ 6 }\)
\(44 = ( 6 + 6 ) \cdot \sqrt{9} + 8 \)
\(45 = 6^{8 - 6} + 9 \)
\(46 = \sqrt{6 \cdot 6} \cdot 9 - 8 \)
\(47 = 6 \cdot 6 + 8 + \sqrt{9 }\)
\(48 = \frac{ 96 }{ 8 - 6 }\)
\(49 = 66 - 8 - 9 \)
\(50 = 68 - 6 \cdot \sqrt{9 }\)
\(51 = 6 \cdot 8 - 6 + 9 \)
\(52 = \sqrt{9}!! - 668 \)
\(53 = 68 - 6 - 9 \)
\(54 = 86 \cdot 9 - 6 !\)
\(55 = 69 - 6 - 8 \)
\(56 = 6 \cdot 9 - 6 + 8 \)
\(57 = 66 - \frac{ 9! }{ 8 ! }\)
\(58 = 8^{\frac{ 6 }{ \sqrt{9} }} - 6 \)
\(59 = 68 - 6 - \sqrt{9 }\)
\(60 = \frac{ 6! }{ \frac{ 96 }{ 8 } }\)
\(61 = 66 - 8 + \sqrt{9 }\)
\(62 = 98 - 6 \cdot 6 \)
\(63 = ( 8 - \frac{ 6 }{ 6 } ) \cdot 9 \)
\(64 = 8^{\frac{ 6 }{ 9 - 6 }}\)
\(65 = 66 + 8 - 9 \)
\(66 = ( 9 - 8 ) \cdot 66 \)
\(67 = 66 - 8 + 9 \)
\(68 = 86 - 6 \cdot \sqrt{9 }\)
\(69 = \sqrt{69^{8 - 6 }}\)
\(70 = \frac{ 6 }{ \sqrt{9} } + 68 \)
\(71 = 68 - 6 + 9 \)
\(72 = \frac{ 96 \cdot 6 }{ 8 }\)
\(73 = ( 8 - 6 )^{6} + 9 \)
\(74 = ( 9 - 6 )! + 68 \)
\(75 = ( 6 + 8 ) \cdot 6 - 9 \)
\(76 = \frac{ 9! }{ 6 \cdot 6! } - 8 \)
\(77 = 89 - 6 - 6 \)
\(78 = \frac{ 6! - 96 }{ 8 }\)
\(79 = ?\)
\(80 = 86 - ( 9 - 6 )!\)
\(81 = ( \frac{ 6 }{ 6 } + 8 ) \cdot 9 \)
\(82 = 96 - 6 - 8 \)
\(83 = 66 + 8 + 9 \)
\(84 = 86 - \frac{ 6 }{ \sqrt{9 } }\)
\(85 = 86 - \frac{ 6 }{ \sqrt{9 }! }\)
\(86 = 98 - 6 - 6 \)
\(87 = \frac{ 696 }{ 8 }\)
\(88 = 89 - \frac{ 6 }{ 6 }\)
\(89 = 86 - 6 + 9 \)
\(90 = \frac{ 6 }{ 6 } + 89 \)
\(91 = \frac{ 6 }{ 6 } + \frac{ \sqrt{9}!! }{ 8 }\)
\(92 = \frac{ 69 \cdot 8 }{ 6 }\)
\(93 = ( 6 + 8 ) \cdot 6 + 9 \)
\(94 = 96 + 6 - 8 \)
\(95 = 86 + 6 + \sqrt{9 }\)
\(96 = \sqrt{96^{8 - 6 }}\)
\(97 = 98 - \frac{ 6 }{ 6 }\)
\(98 = 96 - 6 + 8 \)
\(99 = \frac{ 6 }{ 6 } + 98 \)
\(100 = ( 6 + 6 ) \cdot 9 - 8 \)