2 3 3 4

All 100 targets have a solution.

\(1 = ( 4 - 3 )^{23 }\)
\(2 = 34 - 32 \)
\(3 = \sqrt{33 - 24 }\)
\(4 = \frac{ 24 }{ 3 + 3 }\)
\(5 = \frac{ 23 - 3 }{ 4 }\)
\(6 = \frac{ \sqrt{324} }{ 3 }\)
\(7 = \frac{ 24 - 3 }{ 3 }\)
\(8 = \frac{ 24 }{ \sqrt{3 \cdot 3 } }\)
\(9 = 33 - 24 \)
\(10 = \frac{ 23 - 3 }{ \sqrt{4 } }\)
\(11 = 34 - 23 \)
\(12 = \sqrt{\frac{ 432 }{ 3 }}\)
\(13 = \frac{ 42 - 3 }{ 3 }\)
\(14 = \frac{ 34 }{ 2 } - 3 \)
\(15 = \sqrt{324} - 3 \)
\(16 = 23 - 3 - 4 \)
\(17 = 33 - 2^{4 }\)
\(18 = 24 - 3 - 3 \)
\(19 = \frac{ 32 }{ \sqrt{4} } + 3 \)
\(20 = 43 - 23 \)
\(21 = \sqrt{324} + 3 \)
\(22 = 23 + 3 - 4 \)
\(23 = ( 4 - 3 ) \cdot 23 \)
\(24 = 23 - 3 + 4 \)
\(25 = \frac{ 3 }{ 3 } + 24 \)
\(26 = 34 - 2^{3 }\)
\(27 = \sqrt{243 \cdot 3 }\)
\(28 = 34 - 2 \cdot 3 \)
\(29 = 34 - 2 - 3 \)
\(30 = 23 + 3 + 4 \)
\(31 = 32 + 3 - 4 \)
\(32 = ( 4 - 3 ) \cdot 32 \)
\(33 = 3 \cdot 3 + 24 \)
\(34 = ( 3 - 2 ) \cdot 34 \)
\(35 = 3 \cdot 4 + 23 \)
\(36 = \sqrt{432 \cdot 3 }\)
\(37 = 43 - 2 \cdot 3 \)
\(38 = 43 - 2 - 3 \)
\(39 = \frac{ 234 }{ 3 ! }\)
\(40 = 2 \cdot 3 + 34 \)
\(41 = 4^{3} - 23 \)
\(42 = 2^{3} + 34 \)
\(43 = 3^{2} + 34 \)
\(44 = 3 \cdot 4 + 32 \)
\(45 = 23 \cdot 3 - 4 !\)
\(46 = ( 3! - 4 ) \cdot 23 \)
\(47 = 3! \cdot 4 + 23 \)
\(48 = 42 + 3 + 3 \)
\(49 = 3^{4} - 32 \)
\(50 = 23 + 3 + 4 !\)
\(51 = 3^{3} + 24 \)
\(52 = 3^{2} + 43 \)
\(53 = 32 - 3 + 4 !\)
\(54 = \sqrt{324} \cdot 3 \)
\(55 = 33 - 2 + 4 !\)
\(56 = 3! \cdot 4 + 32 \)
\(57 = 23 + 34 \)
\(58 = 3^{4} - 23 \)
\(59 = 32 + 3 + 4 !\)
\(60 = 3 \cdot 3! + 42 \)
\(61 = 32 \cdot \sqrt{4} - 3 \)
\(62 = 33 \cdot 2 - 4 \)
\(63 = ( 24 - 3 ) \cdot 3 \)
\(64 = ( \frac{ 24 }{ 3! } )^{3 }\)
\(65 = 23 \cdot 3 - 4 \)
\(66 = 23 + 43 \)
\(67 = 23 \cdot 3 - \sqrt{4 }\)
\(68 = ( 23 - 3! ) \cdot 4 \)
\(69 = 24 \cdot 3 - 3 \)
\(70 = 33 \cdot 2 + 4 \)
\(71 = 34 \cdot 2 + 3 \)
\(72 = \frac{ 432 }{ 3 ! }\)
\(73 = 23 \cdot 3 + 4 \)
\(74 = ( 33 + 4 ) \cdot 2 \)
\(75 = 32 + 43 \)
\(76 = 3^{4} - 2 - 3 \)
\(77 = ( 2 + 3 )! - 43 \)
\(78 = \frac{ 234 }{ 3 }\)
\(79 = 3!^{2} + 43 \)
\(80 = ( 23 - 3 ) \cdot 4 \)
\(81 = \frac{ 243 }{ 3 }\)
\(82 = 3^{4} - 2 + 3 \)
\(83 = \frac{ 332 }{ 4 }\)
\(84 = ( 32 - 4 ) \cdot 3 \)
\(85 = ( 3 \cdot 3 )^{2} + 4 \)
\(86 = 23 \cdot 4 - 3 !\)
\(87 = 4^{3} + 23 \)
\(88 = ( 3 + \sqrt{4} )! - 32 \)
\(89 = 23 \cdot 4 - 3 \)
\(90 = ( 24 + 3! ) \cdot 3 \)
\(91 = 2^{3!} + 3 + 4 !\)
\(92 = 32 \cdot 3 - 4 \)
\(93 = 23 \cdot 3 + 4 !\)
\(94 = 32 \cdot 3 - \sqrt{4 }\)
\(95 = 23 \cdot 4 + 3 \)
\(96 = 4^{3} + 32 \)
\(97 = ( 3 + \sqrt{4} )! - 23 \)
\(98 = 23 \cdot 4 + 3 !\)
\(99 = ( 3^{2} + 4! ) \cdot 3 \)
\(100 = 32 \cdot 3 + 4 \)