3 3 8 9

All 100 targets have a solution.

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