2 2 9 9

All 100 targets have a solution.

\(1 = \frac{ 29 }{ 29 }\)
\(2 = \sqrt{22 - 9 - 9 }\)
\(3 = \frac{ 29 - 2 }{ 9 }\)
\(4 = 22 - 9 - 9 \)
\(5 = \sqrt{9} \cdot 9 - 22 \)
\(6 = \sqrt{29 - 2 + 9 }\)
\(7 = \sqrt{29 \cdot 2 - 9 }\)
\(8 = 9 - 9^{2 - 2 }\)
\(9 = \frac{ 29 - 2 }{ \sqrt{9 } }\)
\(10 = \frac{ 29 - 9 }{ 2 }\)
\(11 = \sqrt{22 + 99 }\)
\(12 = 2 - 2 + \sqrt{9} + 9 \)
\(13 = 22 - \sqrt{9 \cdot 9 }\)
\(14 = \sqrt{99 \cdot 2 - 2 }\)
\(15 = \sqrt{( 22 + \sqrt{9} ) \cdot 9 }\)
\(16 = 22 - 9 + \sqrt{9 }\)
\(17 = \sqrt{292 - \sqrt{9 }}\)
\(18 = 29 - 2 - 9 \)
\(19 = \frac{ 29 + 9 }{ 2 }\)
\(20 = \sqrt{29^{2}} - 9 \)
\(21 = 22 - \frac{ 9 }{ 9 }\)
\(22 = 22 - 9 + 9 \)
\(23 = \frac{ 9 }{ 9 } + 22 \)
\(24 = ( 22 - 9 - 9 )!\)
\(25 = \frac{ 9 }{ \sqrt{9} } + 22 \)
\(26 = \sqrt{29^{2}} - \sqrt{9 }\)
\(27 = ( 2 + 2 ) \cdot 9 - 9 \)
\(28 = 22 - \sqrt{9} + 9 \)
\(29 = \sqrt{29 \cdot 29 }\)
\(30 = 29 - 2 + \sqrt{9 }\)
\(31 = \sqrt{9 \cdot 9} + 22 \)
\(32 = ( 9 - 2 + 9 ) \cdot 2 \)
\(33 = \frac{ 22 \cdot 9 }{ \sqrt{9 }! }\)
\(34 = 22 + \sqrt{9} + 9 \)
\(35 = 2 \cdot \sqrt{9} + 29 \)
\(36 = 29 - 2 + 9 \)
\(37 = \frac{ 92 }{ 2 } - 9 \)
\(38 = \sqrt{29^{2}} + 9 \)
\(39 = ( 22 - 9 ) \cdot \sqrt{9 }\)
\(40 = 22 + 9 + 9 \)
\(41 = 2 \cdot \sqrt{9}! + 29 \)
\(42 = ( 9 - 2 ) \cdot 2 \cdot \sqrt{9 }\)
\(43 = \frac{ 92 }{ 2 } - \sqrt{9 }\)
\(44 = \frac{ 22 \cdot \sqrt{9}! }{ \sqrt{9 } }\)
\(45 = ( 9 - ( 2 + 2 ) ) \cdot 9 \)
\(46 = ( 29 - \sqrt{9}! ) \cdot 2 \)
\(47 = 2 \cdot 9 + 29 \)
\(48 = ( 2 \cdot 9 - 2 ) \cdot \sqrt{9 }\)
\(49 = 29 \cdot 2 - 9 \)
\(50 = ( \sqrt{9} \cdot 9 - 2 ) \cdot 2 \)
\(51 = \frac{ ( 2 + \sqrt{9} )! }{ 2 } - 9 \)
\(52 = 9^{2} - 29 \)
\(53 = ( \sqrt{9}! - 2 )! + 29 \)
\(54 = ( 2 \cdot 9 + 9 ) \cdot 2 \)
\(55 = \frac{ 92 }{ 2 } + 9 \)
\(56 = 92 - \sqrt{9}!^{2 }\)
\(57 = 22 \cdot \sqrt{9} - 9 \)
\(58 = 29 + 29 \)
\(59 = 9 \cdot 9 - 22 \)
\(60 = ( 2 \cdot 9 + 2 ) \cdot \sqrt{9 }\)
\(61 = 29 \cdot 2 + \sqrt{9 }\)
\(62 = 2^{9 - \sqrt{9}} - 2 \)
\(63 = 92 - 29 \)
\(64 = ( 29 + \sqrt{9} ) \cdot 2 \)
\(65 = ( 9 - 2 ) \cdot 9 + 2 \)
\(66 = \frac{ 22 \cdot 9 }{ \sqrt{9 } }\)
\(67 = 29 \cdot 2 + 9 \)
\(68 = 92 - ( \sqrt{9}! - 2 )!\)
\(69 = 22 \cdot \sqrt{9} + \sqrt{9 }\)
\(70 = 9^{2} - 2 - 9 \)
\(71 = 2^{\sqrt{9}!} - 2 + 9 \)
\(72 = ( 9 - \frac{ 2 }{ 2 } ) \cdot 9 \)
\(73 = ( 2 + 2 )^{\sqrt{9}} + 9 \)
\(74 = 92 - 2 \cdot 9 \)
\(75 = 22 \cdot \sqrt{9} + 9 \)
\(76 = ( 29 + 9 ) \cdot 2 \)
\(77 = 99 - 22 \)
\(78 = ( 22 - 9 ) \cdot \sqrt{9 }!\)
\(79 = \sqrt{( 9 \cdot 9 - 2 )^{2 }}\)
\(80 = 9 \cdot 9 - \frac{ 2 }{ 2 }\)
\(81 = 92 - 2 - 9 \)
\(82 = \frac{ 2 }{ 2 } + 9 \cdot 9 \)
\(83 = \sqrt{92^{2}} - 9 \)
\(84 = 92 - 2^{\sqrt{9 }}\)
\(85 = 92 + 2 - 9 \)
\(86 = 92 - 2 \cdot \sqrt{9 }\)
\(87 = \sqrt{29^{2} \cdot 9 }\)
\(88 = 9^{2} - 2 + 9 \)
\(89 = 29 \cdot \sqrt{9} + 2 \)
\(90 = ( \frac{ 2 }{ 2 } + 9 ) \cdot 9 \)
\(91 = 92 + 2 - \sqrt{9 }\)
\(92 = \sqrt{92 \cdot 92 }\)
\(93 = ( 22 + 9 ) \cdot \sqrt{9 }\)
\(94 = \sqrt{\sqrt{9}! - 2} + 92 \)
\(95 = 99 - 2 - 2 \)
\(96 = 92 - 2 + \sqrt{9 }!\)
\(97 = 92 + 2 + \sqrt{9 }\)
\(98 = 99 - \frac{ 2 }{ 2 }\)
\(99 = 92 - 2 + 9 \)
\(100 = \frac{ 2 }{ 2 } + 99 \)