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