1899

\(1 = \frac{ 18 - 9 }{ 9 }\) \(2 = 91 - 89 \) \(3 = \frac{ 18 + 9 }{ 9 }\) \(4 = \frac{ 8 }{ \frac{ 9 }{ 9 } + 1 }\)
\(5 = \frac{ 18 }{ 9 } + \sqrt{9 }\) \(6 = \frac{ 18 }{ 9 } \cdot \sqrt{9 }\) \(7 = 98 - 91 \) \(8 = \frac{ 81 - 9 }{ 9 }\)
\(9 = \sqrt{99 - 18 }\) \(10 = \frac{ 81 + 9 }{ 9 }\) \(11 = \frac{ 99 }{ \sqrt{81 } }\) \(12 = \sqrt{18 - 9} + 9 \)
\(13 = 1^{8} + \sqrt{9} + 9 \) \(14 = 19 - 8 + \sqrt{9 }\) \(15 = \frac{ 18 }{ \sqrt{9} } + 9 \) \(16 = 8 - 1^{9} + 9 \)
\(17 = 18 - \frac{ 9 }{ 9 }\) \(18 = 99 - 81 \) \(19 = \frac{ 9 }{ 9 } + 18 \) \(20 = 19 - 8 + 9 \)
\(21 = \frac{ 189 }{ 9 }\) \(22 = \frac{ 198 }{ 9 }\) \(23 = ( 1 + \sqrt{9} ) \cdot 8 - 9 \) \(24 = 18 - \sqrt{9} + 9 \)
\(25 = 8 - 1 + 9 + 9 \) \(26 = 1 \cdot 8 + 9 + 9 \) \(27 = \sqrt{18 - 9} \cdot 9 \) \(28 = \sqrt{( 9 - 1 ) \cdot 98 }\)
\(29 = 8 \cdot \sqrt{9}! - 19 \) \(30 = \sqrt{891 + 9 }\) \(31 = \frac{ \sqrt{9}!! }{ 18 } - 9 \) \(32 = \sqrt{19 - \sqrt{9}} \cdot 8 \)
\(33 = \frac{ 198 }{ \sqrt{9 }! }\) \(34 = 8 \cdot \sqrt{9} + 1 + 9 \) \(35 = 1 \cdot \sqrt{9} \cdot 9 + 8 \) \(36 = 18 + 9 + 9 \)
\(37 = ( \sqrt{9}! - 1 ) \cdot 9 - 8 \) \(38 = ( 8 - \sqrt{9}! ) \cdot 19 \) \(39 = 1 \cdot 8 \cdot \sqrt{9}! - 9 \) \(40 = \frac{ ( 9 - \sqrt{9} )! }{ 18 }\)
\(41 = ( 1 + \sqrt{9} ) \cdot 8 + 9 \) \(42 = ( 8 - 1 ) \cdot ( 9 - \sqrt{9 } )\) \(43 = 8 \cdot \sqrt{9} + 19 \) \(44 = ( 1 + \sqrt{9} ) \cdot 9 + 8 \)
\(45 = 18 \cdot \sqrt{9} - 9 \) \(46 = ( 8 - \sqrt{9} ) \cdot 9 + 1 \) \(47 = ( 9 - \sqrt{9} ) \cdot 8 - 1 \) \(48 = ( 8 - 1 + 9 ) \cdot \sqrt{9 }\)
\(49 = 19 \cdot \sqrt{9} - 8 \) \(50 = ( 8 + 9 ) \cdot \sqrt{9} - 1 \) \(51 = 18 \cdot \sqrt{9} - \sqrt{9 }\) \(52 = ( 8 + 9 ) \cdot \sqrt{9} + 1 \)
\(53 = 8 \cdot 9 - 19 \) \(54 = \frac{ 18 }{ \sqrt{9} } \cdot 9 \) \(55 = ( 9 - 1 ) \cdot 8 - 9 \) \(56 = ( 9 - ( \sqrt{9} - 1 ) ) \cdot 8 \)
\(57 = 18 \cdot \sqrt{9} + \sqrt{9 }\) \(58 = 8 \cdot \sqrt{9}! + 1 + 9 \) \(59 = ( 1 + \sqrt{9}! ) \cdot 8 + \sqrt{9 }\) \(60 = ( 8 - 1 ) \cdot 9 - \sqrt{9 }\)
\(61 = ( 9 - 1 ) \cdot 8 - \sqrt{9 }\) \(62 = 8 \cdot 9 - 1 - 9 \) \(63 = \frac{ 189 }{ \sqrt{9 } }\) \(64 = 8 \cdot 9 + 1 - 9 \)
\(65 = 19 \cdot \sqrt{9} + 8 \) \(66 = \frac{ 198 }{ \sqrt{9 } }\) \(67 = 91 - 8 \cdot \sqrt{9 }\) \(68 = 8 \cdot 9 - 1 - \sqrt{9 }\)
\(69 = 81 - 9 - \sqrt{9 }\) \(70 = 89 - 19 \) \(71 = ( 1 + 9 ) \cdot 8 - 9 \) \(72 = \sqrt{81} \cdot 9 - 9 \)
\(73 = ( 9 - 1 ) \cdot 8 + 9 \) \(74 = 91 - 8 - 9 \) \(75 = 81 - 9 + \sqrt{9 }\) \(76 = 8 \cdot 9 + 1 + \sqrt{9 }\)
\(77 = 91 - 8 - \sqrt{9 }!\) \(78 = 81 - \frac{ 9 }{ \sqrt{9 } }\) \(79 = 98 - 19 \) \(80 = ( 19 - 9 ) \cdot 8 \)
\(81 = 99 - 18 \) \(82 = \frac{ 9 }{ 9 } + 81 \) \(83 = 89 \cdot 1 - \sqrt{9 }!\) \(84 = \frac{ 9 }{ \sqrt{9} } + 81 \)
\(85 = 89 - 1 - \sqrt{9 }\) \(86 = 89 \cdot 1 - \sqrt{9 }\) \(87 = 81 - \sqrt{9} + 9 \) \(88 = 89 - 1^{9 }\)
\(89 = 1^{9} \cdot 89 \) \(90 = 99 - \sqrt{81 }\) \(91 = \frac{ 819 }{ 9 }\) \(92 = 91 - 8 + 9 \)
\(93 = 81 + \sqrt{9} + 9 \) \(94 = 98 - 1 - \sqrt{9 }\) \(95 = ( 8 - \sqrt{9} ) \cdot 19 \) \(96 = 99 - \sqrt{\sqrt{81 }}\)
\(97 = 89 - 1 + 9 \) \(98 = 89 \cdot 1 + 9 \) \(99 = \frac{ 891 }{ 9 }\) \(100 = 1^{8} + 99 \)