0199

\(1 = 91 - 90 \) \(2 = 99^{0} + 1 \) \(3 = ( 10 - 9 ) \cdot \sqrt{9 }\) \(4 = 10 - 9 + \sqrt{9 }\)
\(5 = \sqrt{9}! - ( 10 - 9 )\) \(6 = ( ( 10 - 9 ) \cdot \sqrt{9 } )!\) \(7 = 10 - \frac{ 9 }{ \sqrt{9 } }\) \(8 = 9 - ( 10 - 9 )\)
\(9 = ( 10 - 9 ) \cdot 9 \) \(10 = \sqrt{109 - 9 }\) \(11 = \frac{ 9 }{ 9 } + 10 \) \(12 = 0 \cdot 1 + \sqrt{9} + 9 \)
\(13 = \frac{ 9 }{ \sqrt{9} } + 10 \) \(14 = \sqrt{190 + \sqrt{9 }!}\) \(15 = \frac{ 10 \cdot 9 }{ \sqrt{9 }! }\) \(16 = 10 - \sqrt{9} + 9 \)
\(17 = \sqrt{9} \cdot 9 - 10 \) \(18 = 19 - 9^{0 }\) \(19 = 0 \cdot 9 + 19 \) \(20 = 9^{0} + 19 \)
\(21 = 10 \cdot \sqrt{9} - 9 \) \(22 = 10 + \sqrt{9} + 9 \) \(23 = 19 + 0! + \sqrt{9 }\) \(24 = ( 10 - 9 + \sqrt{9 } )!\)
\(25 = 10 + \sqrt{9}! + 9 \) \(26 = ( 0 + \sqrt{9} ) \cdot 9 - 1 \) \(27 = 19 - 0! + 9 \) \(28 = 10 + 9 + 9 \)
\(29 = 19 + 0! + 9 \) \(30 = \frac{ 10 \cdot 9 }{ \sqrt{9 } }\) \(31 = \frac{ 90 }{ \sqrt{9} } + 1 \) \(32 = ( 0! + \sqrt{9} ) \cdot ( 9 - 1 )\)
\(33 = 10 \cdot \sqrt{9} + \sqrt{9 }\) \(34 = ( 0! + \sqrt{9} )! + 1 + 9 \) \(35 = ( 0! + \sqrt{9} ) \cdot 9 - 1 \) \(36 = ( 10 - \sqrt{9}! ) \cdot 9 \)
\(37 = \sqrt{9} \cdot 9 + 10 \) \(38 = ( \sqrt{9} - 0! ) \cdot 19 \) \(39 = 10 \cdot \sqrt{9} + 9 \) \(40 = ( 0! + \sqrt{9} ) \cdot ( 1 + 9 )\)
\(41 = \frac{ ( \sqrt{9}! - 0! )! }{ \sqrt{9} } + 1 \) \(42 = ( 10 - \sqrt{9} ) \cdot \sqrt{9 }!\) \(43 = ( 0! + \sqrt{9} )! + 19 \) \(44 = \sqrt{9}! \cdot 9 - 10 \)
\(45 = \frac{ 90 }{ \sqrt{9} - 1 }\) \(46 = \sqrt{9}! \cdot \sqrt{9}! + 10 \) \(47 = ( 9 - 0! ) \cdot \sqrt{9}! - 1 \) \(48 = ( 10 + \sqrt{9}! ) \cdot \sqrt{9 }\)
\(49 = ( 9 - 0! ) \cdot \sqrt{9}! + 1 \) \(50 = ( \sqrt{9}! - 0! ) \cdot ( 1 + 9 )\) \(51 = 10 \cdot \sqrt{9}! - 9 \) \(52 = \sqrt{9}! \cdot 9 - 0! - 1 \)
\(53 = ( 0 + \sqrt{9} )! \cdot 9 - 1 \) \(54 = ( 19 - 0! ) \cdot \sqrt{9 }\) \(55 = ( 0 + \sqrt{9} )! \cdot 9 + 1 \) \(56 = 19 \cdot \sqrt{9} - 0 !\)
\(57 = ( 10 + 9 ) \cdot \sqrt{9 }\) \(58 = 19 \cdot \sqrt{9} + 0 !\) \(59 = ( 0! + 9 ) \cdot \sqrt{9}! - 1 \) \(60 = ( 9 - \sqrt{9} ) \cdot 10 \)
\(61 = ( 0! + 9 ) \cdot \sqrt{9}! + 1 \) \(62 = ( 0! + \sqrt{9}! ) \cdot 9 - 1 \) \(63 = ( 10 - \sqrt{9} ) \cdot 9 \) \(64 = \sqrt{9}! \cdot 9 + 10 \)
\(65 = ( 0! + \sqrt{9} )^{\sqrt{9}} + 1 \) \(66 = 90 - ( 1 + \sqrt{9 } )!\) \(67 = 91 - ( 0! + \sqrt{9 } )!\) \(68 = \sqrt{( 0! + \sqrt{9}! )! + 1} - \sqrt{9 }\)
\(69 = 10 \cdot \sqrt{9}! + 9 \) \(70 = \frac{ \sqrt{9}!! }{ 9 } - 10 \) \(71 = 90 - 19 \) \(72 = ( 9 - ( 0 + 1 ) ) \cdot 9 \)
\(73 = ( 9 - 0! ) \cdot 9 + 1 \) \(74 = \sqrt{( 0! + \sqrt{9}! )! + 1} + \sqrt{9 }\) \(75 = \frac{ \sqrt{9}!! }{ 10 } + \sqrt{9 }\) \(76 = ( 0! + \sqrt{9} ) \cdot 19 \)
\(77 = \sqrt{( 0! + \sqrt{9}! )! + 1} + \sqrt{9 }!\) \(78 = ( 10 + \sqrt{9} ) \cdot \sqrt{9 }!\) \(79 = 9 \cdot 9 - 0! - 1 \) \(80 = 90 - 1 - 9 \)
\(81 = 10 \cdot 9 - 9 \) \(82 = 90 + 1 - 9 \) \(83 = 91 + 0! - 9 \) \(84 = 10 \cdot 9 - \sqrt{9 }!\)
\(85 = 90 + 1 - \sqrt{9 }!\) \(86 = 90 - 1 - \sqrt{9 }\) \(87 = 10 \cdot 9 - \sqrt{9 }\) \(88 = 90 + 1 - \sqrt{9 }\)
\(89 = 99 - 10 \) \(90 = 1^{9} \cdot 90 \) \(91 = 9 \cdot 9 + 10 \) \(92 = 9^{0} + 91 \)
\(93 = 10 \cdot 9 + \sqrt{9 }\) \(94 = 90 + 1 + \sqrt{9 }\) \(95 = 90 - 1 + \sqrt{9 }!\) \(96 = 10 \cdot 9 + \sqrt{9 }!\)
\(97 = 99 - 0! - 1 \) \(98 = 90 - 1 + 9 \) \(99 = 10 \cdot 9 + 9 \) \(100 = 109 - 9 \)