1889

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