1689

\(1 = 9 - ( 16 - 8 )\) \(2 = \sqrt{6 - \frac{ 18 }{ 9 }}\) \(3 = \frac{ 9 }{ \frac{ 18 }{ 6 } }\) \(4 = 6 - \frac{ 18 }{ 9 }\)
\(5 = 91 - 86 \) \(6 = \sqrt{196} - 8 \) \(7 = \sqrt{68 - 19 }\) \(8 = \frac{ 18 }{ 9 } + 6 \)
\(9 = \sqrt{9}^{\frac{ 16 }{ 8 }}\) \(10 = \frac{ 6! }{ 81 - 9 }\) \(11 = \frac{ 16 }{ 8 } + 9 \) \(12 = 81 - 69 \)
\(13 = \frac{ 96 }{ 8 } + 1 \) \(14 = \frac{ 98 }{ 1 + 6 }\) \(15 = 96 - 81 \) \(16 = ( 9 - 8 ) \cdot 16 \)
\(17 = 16 - 8 + 9 \) \(18 = \frac{ 16 }{ 8 } \cdot 9 \) \(19 = \sqrt{19^{8 - 6 }}\) \(20 = \sqrt{16 \cdot 9} + 8 \)
\(21 = \sqrt{169} + 8 \) \(22 = \sqrt{196} + 8 \) \(23 = 91 - 68 \) \(24 = ( 16 - 8 ) \cdot \sqrt{9 }\)
\(25 = \frac{ 81 - 6 }{ \sqrt{9 } }\) \(26 = \sqrt{\sqrt{16}} \cdot 9 + 8 \) \(27 = \frac{ 18 }{ 6 } \cdot 9 \) \(28 = 89 - 61 \)
\(29 = 6 \cdot 8 - 19 \) \(30 = 16 + 8 + \sqrt{9 }!\) \(31 = \frac{ 186 }{ \sqrt{9 }! }\) \(32 = \frac{ 96 }{ \sqrt{\sqrt{81 }} }\)
\(33 = \frac{ 198 }{ 6 }\) \(34 = \frac{ 68 }{ \sqrt{9} - 1 }\) \(35 = \sqrt{16} \cdot 8 + \sqrt{9 }\) \(36 = 6^{\frac{ 18 }{ 9 }}\)
\(37 = 98 - 61 \) \(38 = ( 8 - 6 ) \cdot 19 \) \(39 = \sqrt{961} + 8 \) \(40 = ( 9 - \sqrt{16} ) \cdot 8 \)
\(41 = \sqrt{16} \cdot 8 + 9 \) \(42 = ( 8 - 1^{9} ) \cdot 6 \) \(43 = 91 - 6 \cdot 8 \) \(44 = 61 - 8 - 9 \)
\(45 = \sqrt{81} \cdot 6 - 9 \) \(46 = 1 \cdot 6 \cdot 9 - 8 \) \(47 = ( 1 + 6 ) \cdot 8 - 9 \) \(48 = 18 \cdot \sqrt{9} - 6 \)
\(49 = 68 - 19 \) \(50 = 61 - 8 - \sqrt{9 }\) \(51 = 69 - 18 \) \(52 = ( 1 + 9 ) \cdot 6 - 8 \)
\(53 = ( 6 - 1 ) \cdot 9 + 8 \) \(54 = ( 18 - 9 ) \cdot 6 \) \(55 = ( 1 + 6 ) \cdot 9 - 8 \) \(56 = \frac{ 168 }{ \sqrt{9 } }\)
\(57 = 1 \cdot 6 \cdot 8 + 9 \) \(58 = 68 - 1 - 9 \) \(59 = 68 \cdot 1 - 9 \) \(60 = 69 - \sqrt{81 }\)
\(61 = ( 9 - 8 ) \cdot 61 \) \(62 = \frac{ 186 }{ \sqrt{9 } }\) \(63 = \sqrt{81} \cdot 6 + 9 \) \(64 = ( \frac{ 18 }{ 9 } )^{6 }\)
\(65 = 89 - \sqrt{16 }!\) \(66 = ( 19 - 8 ) \cdot 6 \) \(67 = 86 - 19 \) \(68 = 1^{9} \cdot 68 \)
\(69 = 1^{9} + 68 \) \(70 = 1^{8} + 69 \) \(71 = \frac{ 6! }{ 8 } - 19 \) \(72 = ( 16 - 8 ) \cdot 9 \)
\(73 = 89 - 16 \) \(74 = 98 - \sqrt{16 }!\) \(75 = \sqrt{81} \cdot 9 - 6 \) \(76 = 68 - 1 + 9 \)
\(77 = 68 \cdot 1 + 9 \) \(78 = 96 - 18 \) \(79 = 81 - \frac{ 6 }{ \sqrt{9 } }\) \(80 = ( 8 - \sqrt{9} ) \cdot 16 \)
\(81 = 9^{\frac{ 16 }{ 8 }}\) \(82 = 98 - 16 \) \(83 = 89 \cdot 1 - 6 \) \(84 = 81 - 6 + 9 \)
\(85 = 89 - \sqrt{16 }\) \(86 = 1^{9} \cdot 86 \) \(87 = 18 + 69 \) \(88 = 8 \cdot 9 + 16 \)
\(89 = 1^{6} \cdot 89 \) \(90 = 1^{6} + 89 \) \(91 = 98 - 1 - 6 \) \(92 = 98 \cdot 1 - 6 \)
\(93 = \sqrt{16} + 89 \) \(94 = 98 - \sqrt{16 }\) \(95 = 86 \cdot 1 + 9 \) \(96 = 81 + 6 + 9 \)
\(97 = 1^{8} + 96 \) \(98 = 1^{6} \cdot 98 \) \(99 = 819 - 6 !\) \(100 = \sqrt{\sqrt{16}} + 98 \)