2 2 3 9

All 100 targets have a solution.

\(1 = ( 3 - 2 )^{29 }\)
\(2 = \sqrt{\frac{ 92 }{ 23 }}\)
\(3 = 32 - 29 \)
\(4 = \frac{ 92 }{ 23 }\)
\(5 = 3 \cdot 9 - 22 \)
\(6 = 29 - 23 \)
\(7 = \frac{ 23 - 9 }{ 2 }\)
\(8 = \sqrt{( 23 + 9 ) \cdot 2 }\)
\(9 = \frac{ 29 - 2 }{ 3 }\)
\(10 = 22 - 3 - 9 \)
\(11 = 3 - \frac{ 2 }{ 2 } + 9 \)
\(12 = 23 - 2 - 9 \)
\(13 = \frac{ 29 - 3 }{ 2 }\)
\(14 = \sqrt{\frac{ 392 }{ 2 }}\)
\(15 = \sqrt{( 22 + 3 ) \cdot 9 }\)
\(16 = 22 + 3 - 9 \)
\(17 = 39 - 22 \)
\(18 = 23 - 2 - \sqrt{9 }\)
\(19 = 22 - \frac{ 9 }{ 3 }\)
\(20 = 29 - 3^{2 }\)
\(21 = 29 - 2^{3 }\)
\(22 = 22 - 3 + \sqrt{9 }\)
\(23 = 29 - 2 \cdot 3 \)
\(24 = ( \frac{ 92 }{ 23 } )!\)
\(25 = \frac{ 9 }{ 3 } + 22 \)
\(26 = \sqrt{29^{2}} - 3 \)
\(27 = 32 - 2 - \sqrt{9 }\)
\(28 = \sqrt{392 \cdot 2 }\)
\(29 = ( 3 - 2 ) \cdot 29 \)
\(30 = 23 - 2 + 9 \)
\(31 = 3 \cdot \sqrt{9} + 22 \)
\(32 = 3! \cdot 9 - 22 \)
\(33 = \frac{ 22 \cdot 9 }{ 3 ! }\)
\(34 = 22 + 3 + 9 \)
\(35 = 2 \cdot 3 + 29 \)
\(36 = \sqrt{\frac{ 32 }{ 2 }} \cdot 9 \)
\(37 = 23 \cdot 2 - 9 \)
\(38 = 3^{2} + 29 \)
\(39 = ( 22 - 9 ) \cdot 3 \)
\(40 = \frac{ 2 }{ 2 } + 39 \)
\(41 = 2 \cdot 9 + 23 \)
\(42 = ( 9 - 2 ) \cdot 2 \cdot 3 \)
\(43 = 32 + 2 + 9 \)
\(44 = \frac{ 22 \cdot 3! }{ \sqrt{9 } }\)
\(45 = \sqrt{22 + 3} \cdot 9 \)
\(46 = \sqrt{23 \cdot 92 }\)
\(47 = ( 2 + 3 ) \cdot 9 + 2 \)
\(48 = \frac{ 32 }{ 2 } \cdot \sqrt{9 }\)
\(49 = 3 \cdot 9 + 22 \)
\(50 = 2 \cdot 9 + 32 \)
\(51 = \frac{ ( 2 + 3 )! }{ 2 } - 9 \)
\(52 = 23 + 29 \)
\(53 = ( 3! - 2 )! + 29 \)
\(54 = ( 2^{3} - 2 ) \cdot 9 \)
\(55 = 23 \cdot 2 + 9 \)
\(56 = 92 - 3!^{2 }\)
\(57 = 22 \cdot 3 - 9 \)
\(58 = 9^{2} - 23 \)
\(59 = \sqrt{9}!^{2} + 23 \)
\(60 = 92 - 32 \)
\(61 = 22 + 39 \)
\(62 = 2^{9 - 3} - 2 \)
\(63 = 22 \cdot 3 - \sqrt{9 }\)
\(64 = ( 23 + 9 ) \cdot 2 \)
\(65 = 3!^{2} + 29 \)
\(66 = \frac{ 22 \cdot 9 }{ 3 }\)
\(67 = 23 \cdot \sqrt{9} - 2 \)
\(68 = \sqrt{9}!^{2} + 32 \)
\(69 = 92 - 23 \)
\(70 = ( 29 + 3! ) \cdot 2 \)
\(71 = 93 - 22 \)
\(72 = \sqrt{32 \cdot 2} \cdot 9 \)
\(73 = 32 \cdot 2 + 9 \)
\(74 = ( 39 - 2 ) \cdot 2 \)
\(75 = 22 \cdot 3 + 9 \)
\(76 = 39 \cdot 2 - 2 \)
\(77 = 9^{2} + 2 - 3 !\)
\(78 = ( 22 - 9 ) \cdot 3 !\)
\(79 = 3^{2} \cdot 9 - 2 \)
\(80 = 39 \cdot 2 + 2 \)
\(81 = ( 29 - 2 ) \cdot 3 \)
\(82 = ( 32 + 9 ) \cdot 2 \)
\(83 = 92 - 3^{2 }\)
\(84 = 92 - 2^{3 }\)
\(85 = 29 \cdot 3 - 2 \)
\(86 = 92 - 2 \cdot 3 \)
\(87 = 92 - 2 - 3 \)
\(88 = 92 + 2 - 3 !\)
\(89 = 29 \cdot 3 + 2 \)
\(90 = ( 32 - 2 ) \cdot \sqrt{9 }\)
\(91 = 92 + 2 - 3 \)
\(92 = ( 3 - 2 ) \cdot 92 \)
\(93 = ( 22 + 9 ) \cdot 3 \)
\(94 = \frac{ 2 }{ 2 } + 93 \)
\(95 = \sqrt{92^{2}} + 3 \)
\(96 = \sqrt{32^{2} \cdot 9 }\)
\(97 = 92 + 2 + 3 \)
\(98 = 2 \cdot 3 + 92 \)
\(99 = ( 3^{2} + 2 ) \cdot 9 \)
\(100 = 2^{3} + 92 \)