1789

\(1 = \frac{ 17 - 8 }{ 9 }\) \(2 = 81 - 79 \) \(3 = \sqrt{\sqrt{98 - 17 }}\) \(4 = 91 - 87 \)
\(5 = 7 - \frac{ 18 }{ 9 }\) \(6 = 9 - \sqrt{17 - 8 }\) \(7 = \frac{ 71 - 8 }{ 9 }\) \(8 = \sqrt{( 17 - 9 ) \cdot 8 }\)
\(9 = \sqrt{98 - 17 }\) \(10 = \frac{ 71 + 9 }{ 8 }\) \(11 = \sqrt{81} - 7 + 9 \) \(12 = \frac{ 97 - 1 }{ 8 }\)
\(13 = 91 - 78 \) \(14 = \sqrt{187 + 9 }\) \(15 = \frac{ 98 }{ 7 } + 1 \) \(16 = 97 - 81 \)
\(17 = ( 9 - 8 ) \cdot 17 \) \(18 = 89 - 71 \) \(19 = ( 8 - 7 ) \cdot 19 \) \(20 = 18 - 7 + 9 \)
\(21 = \frac{ 91 }{ 7 } + 8 \) \(22 = 17 + 8 - \sqrt{9 }\) \(23 = 7 - 1 + 8 + 9 \) \(24 = ( 91 - 87 )!\)
\(25 = \frac{ 78 }{ \sqrt{9} } - 1 \) \(26 = \frac{ 78 \cdot 1 }{ \sqrt{9 } }\) \(27 = \frac{ 189 }{ 7 }\) \(28 = \sqrt{781 + \sqrt{9 }}\)
\(29 = \frac{ 87 \cdot 1 }{ \sqrt{9 } }\) \(30 = \frac{ 87 }{ \sqrt{9} } + 1 \) \(31 = 17 + 8 + \sqrt{9 }!\) \(32 = ( 1^{7} + \sqrt{9} ) \cdot 8 \)
\(33 = ( 18 - 7 ) \cdot \sqrt{9 }\) \(34 = 17 + 8 + 9 \) \(35 = 91 - 7 \cdot 8 \) \(36 = ( 9 - 7 ) \cdot 18 \)
\(37 = 7 \cdot 8 - 19 \) \(38 = \sqrt{\sqrt{9}^{8} - 7!} - 1 \) \(39 = 7 \cdot \sqrt{9} + 18 \) \(40 = ( 8 - 1 ) \cdot 7 - 9 \)
\(41 = 8 \cdot \sqrt{9} + 17 \) \(42 = \frac{ 18 \cdot 7 }{ \sqrt{9 } }\) \(43 = 17 \cdot \sqrt{9} - 8 \) \(44 = ( 7 + 8 ) \cdot \sqrt{9} - 1 \)
\(45 = 7 \cdot 9 - 18 \) \(46 = 7 \cdot 8 - 1 - 9 \) \(47 = 18 \cdot \sqrt{9} - 7 \) \(48 = 7 \cdot 8 + 1 - 9 \)
\(49 = 7^{\frac{ 18 }{ 9 }}\) \(50 = 1 \cdot 7 \cdot 8 - \sqrt{9 }!\) \(51 = ( 7 - 1 ) \cdot 8 + \sqrt{9 }\) \(52 = ( 8 - 1 ) \cdot 7 + \sqrt{9 }\)
\(53 = 1 \cdot 7 \cdot 8 - \sqrt{9 }\) \(54 = 71 - 8 - 9 \) \(55 = 8 \cdot 9 - 17 \) \(56 = \frac{ 7! }{ 81 + 9 }\)
\(57 = ( 7 - 1 ) \cdot 8 + 9 \) \(58 = ( 8 - 1 ) \cdot 7 + 9 \) \(59 = 78 - 19 \) \(60 = 71 - 8 - \sqrt{9 }\)
\(61 = 79 - 18 \) \(62 = ( 7 - 1 ) \cdot 9 + 8 \) \(63 = ( 18 - 9 ) \cdot 7 \) \(64 = ( 17 - 9 ) \cdot 8 \)
\(65 = 81 - 7 - 9 \) \(66 = 71 - 8 + \sqrt{9 }\) \(67 = ( 1 + 7 ) \cdot 8 + \sqrt{9 }\) \(68 = 87 - 19 \)
\(69 = 78 \cdot 1 - 9 \) \(70 = 79 - \sqrt{81 }\) \(71 = ( 9 - 8 ) \cdot 71 \) \(72 = 89 - 17 \)
\(73 = 79 - \sqrt{\sqrt{81 }}!\) \(74 = 78 - 1 - \sqrt{9 }\) \(75 = 7 \cdot 8 + 19 \) \(76 = 91 - 7 - 8 \)
\(77 = ( 19 - 8 ) \cdot 7 \) \(78 = 1^{9} \cdot 78 \) \(79 = 97 - 18 \) \(80 = 1^{8} + 79 \)
\(81 = 98 - 17 \) \(82 = 89 \cdot 1 - 7 \) \(83 = 81 - 7 + 9 \) \(84 = 87 \cdot 1 - \sqrt{9 }\)
\(85 = ( 8 - \sqrt{9} ) \cdot 17 \) \(86 = 78 - 1 + 9 \) \(87 = 78 \cdot 1 + 9 \) \(88 = 79 + \sqrt{81 }\)
\(89 = 8 \cdot 9 + 17 \) \(90 = 1^{7} + 89 \) \(91 = ( 8 - 7 ) \cdot 91 \) \(92 = 91 - 7 + 8 \)
\(93 = 87 \cdot 1 + \sqrt{9 }!\) \(94 = 97 - \sqrt{\sqrt{81 }}\) \(95 = 87 - 1 + 9 \) \(96 = ( 19 - 7 ) \cdot 8 \)
\(97 = 18 + 79 \) \(98 = 1^{8} + 97 \) \(99 = ( 18 - 7 ) \cdot 9 \) \(100 = \sqrt{\sqrt{81}} + 97 \)