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\(1 = \frac{ \sqrt{87 - 6} }{ 9 }\) \(2 = \sqrt{76 - 8 \cdot 9 }\) \(3 = \sqrt{78 - 69 }\) \(4 = 76 - 8 \cdot 9 \)
\(5 = 8 \cdot 9 - 67 \) \(6 = \sqrt{78 - 69 }!\) \(7 = 86 - 79 \) \(8 = \frac{ 78 - 6 }{ 9 }\)
\(9 = 78 - 69 \) \(10 = \frac{ 78 }{ 6 } - \sqrt{9 }\) \(11 = 79 - 68 \) \(12 = 6 + 7 + 8 - 9 \)
\(13 = 89 - 76 \) \(14 = \frac{ 87 - \sqrt{9} }{ 6 }\) \(15 = \frac{ 87 + \sqrt{9} }{ 6 }\) \(16 = \sqrt{\frac{ 768 }{ \sqrt{9 } }}\)
\(17 = \sqrt{\frac{ 867 }{ \sqrt{9 } }}\) \(18 = 87 - 69 \) \(19 = \frac{ 96 }{ 8 } + 7 \) \(20 = \frac{ 98 }{ 7 } + 6 \)
\(21 = \sqrt{\sqrt{7^{6}} + 98 }\) \(22 = 89 - 67 \) \(23 = 86 - 7 \cdot 9 \) \(24 = 78 - 6 \cdot 9 \)
\(25 = \frac{ 67 + 8 }{ \sqrt{9 } }\) \(26 = \frac{ 78 }{ 9 - 6 }\) \(27 = \frac{ 87 - 6 }{ \sqrt{9 } }\) \(28 = \frac{ 76 + 8 }{ \sqrt{9 } }\)
\(29 = 97 - 68 \) \(30 = 6 + 7 + 8 + 9 \) \(31 = 98 - 67 \) \(32 = \frac{ 78 }{ \sqrt{9} } + 6 \)
\(33 = 87 - 6 \cdot 9 \) \(34 = \frac{ 68 }{ 9 - 7 }\) \(35 = \frac{ 87 }{ \sqrt{9} } + 6 \) \(36 = 6^{\frac{ 7 + 9 }{ 8 }}\)
\(37 = 6 \cdot 7 - 8 + \sqrt{9 }\) \(38 = \frac{ 76 }{ 8 - \sqrt{9 }! }\) \(39 = \frac{ 78 }{ 6 } \cdot \sqrt{9 }\) \(40 = 96 - 7 \cdot 8 \)
\(41 = 6 \cdot 7 + 8 - 9 \) \(42 = \sqrt{9}!! - 678 \) \(43 = \frac{ 86 }{ 9 - 7 }\) \(44 = 6^{9 - 7} + 8 \)
\(45 = ( 6 + 7 - 8 ) \cdot 9 \) \(46 = 6 \cdot 8 + 7 - 9 \) \(47 = 89 - 6 \cdot 7 \) \(48 = \sqrt{768 \cdot \sqrt{9 }}\)
\(49 = 97 - 6 \cdot 8 \) \(50 = 67 - 8 - 9 \) \(51 = \sqrt{867 \cdot \sqrt{9 }}\) \(52 = 68 - 7 - 9 \)
\(53 = 7 \cdot 8 + 6 - 9 \) \(54 = 69 - 7 - 8 \) \(55 = 6 \cdot 9 - 7 + 8 \) \(56 = 98 - 6 \cdot 7 \)
\(57 = \frac{ 76 \cdot \sqrt{9}! }{ 8 }\) \(58 = \frac{ 87 \cdot 6 }{ 9 }\) \(59 = 76 - 8 - 9 \) \(60 = 78 - 6 \cdot \sqrt{9 }\)
\(61 = 7 \cdot 9 + 6 - 8 \) \(62 = 67 - 8 + \sqrt{9 }\) \(63 = 78 - 6 - 9 \) \(64 = 68 - 7 + \sqrt{9 }\)
\(65 = 79 - 6 - 8 \) \(66 = 67 + 8 - 9 \) \(67 = ( 9 - 8 ) \cdot 67 \) \(68 = 67 - 8 + 9 \)
\(69 = 789 - 6 !\) \(70 = 68 - 7 + 9 \) \(71 = 76 - 8 + \sqrt{9 }\) \(72 = 87 - 6 - 9 \)
\(73 = 8 \cdot 9 - 6 + 7 \) \(74 = 9^{8 - 6} - 7 \) \(75 = 76 + 8 - 9 \) \(76 = ( 9 - 8 ) \cdot 76 \)
\(77 = 76 - 8 + 9 \) \(78 = 798 - 6 !\) \(79 = \sqrt{79^{8 - 6 }}\) \(80 = \frac{ 6 }{ \sqrt{9} } + 78 \)
\(81 = 78 - 6 + 9 \) \(82 = 86 - 7 + \sqrt{9 }\) \(83 = 97 - 6 - 8 \) \(84 = 67 + 8 + 9 \)
\(85 = 98 - 6 - 7 \) \(86 = \sqrt{86^{9 - 7 }}\) \(87 = 76 + 8 + \sqrt{9 }\) \(88 = 86 - 7 + 9 \)
\(89 = ( 7 - 6 ) \cdot 89 \) \(90 = 87 - 6 + 9 \) \(91 = 8 \cdot \sqrt{9} + 67 \) \(92 = ( 7 - \sqrt{9} )! + 68 \)
\(93 = 76 + 8 + 9 \) \(94 = \frac{ 6! }{ 8 } + 7 - \sqrt{9 }\) \(95 = 96 + 7 - 8 \) \(96 = ( 8 - 7 ) \cdot 96 \)
\(97 = 96 - 7 + 8 \) \(98 = ( 7 - 6 ) \cdot 98 \) \(99 = 97 - 6 + 8 \) \(100 = 8 \cdot \sqrt{9} + 76 \)