1799

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