All 100 targets have a solution.
\(1 = 33 - 4 \cdot 8 \)
\(2 = \sqrt{38 - 34 }\)
\(3 = \sqrt{\sqrt{33 + 48 }}\)
\(4 = 38 - 34 \)
\(5 = 43 - 38 \)
\(6 = \sqrt{84 - 3} - 3 \)
\(7 = \sqrt{83 - 34 }\)
\(8 = \sqrt{\frac{ 384 }{ 3 ! }}\)
\(9 = \sqrt{33 + 48 }\)
\(10 = 34 - 3 \cdot 8 \)
\(11 = \frac{ 33 \cdot 8 }{ 4 ! }\)
\(12 = \frac{ 38 - \sqrt{4} }{ 3 }\)
\(13 = \sqrt{\frac{ 338 }{ \sqrt{4 } }}\)
\(14 = \frac{ 34 + 8 }{ 3 }\)
\(15 = 48 - 33 \)
\(16 = \frac{ 38 }{ \sqrt{4} } - 3 \)
\(17 = \frac{ 43 + 8 }{ 3 }\)
\(18 = \frac{ 48 + 3! }{ 3 }\)
\(19 = 43 - 3 \cdot 8 \)
\(20 = \frac{ 83 - 3 }{ 4 }\)
\(21 = \sqrt{433 + 8 }\)
\(22 = \frac{ 38 }{ \sqrt{4} } + 3 \)
\(23 = 34 - 3 - 8 \)
\(24 = ( 38 - 34 )!\)
\(25 = \frac{ 84 }{ 3 } - 3 \)
\(26 = 38 - 3 \cdot 4 \)
\(27 = \frac{ 84 - 3 }{ 3 }\)
\(28 = 38 - 3! - 4 \)
\(29 = 33 + 4 - 8 \)
\(30 = 33 - \frac{ 4! }{ 8 }\)
\(31 = 33 - \frac{ 8 }{ 4 }\)
\(32 = 43 - 3 - 8 \)
\(33 = \sqrt{33^{\frac{ 8 }{ 4 }}}\)
\(34 = 3 \cdot 4! - 38 \)
\(35 = \frac{ 8 }{ 4 } + 33 \)
\(36 = \frac{ 4! }{ 8 } + 33 \)
\(37 = 33 - 4 + 8 \)
\(38 = ( 4 - 3 ) \cdot 38 \)
\(39 = 34 - 3 + 8 \)
\(40 = 83 - 43 \)
\(41 = 43 + 3! - 8 \)
\(42 = 48 - 3 - 3 \)
\(43 = 3^{4} - 38 \)
\(44 = 3 \cdot \sqrt{4} + 38 \)
\(45 = 33 + 4 + 8 \)
\(46 = \sqrt{4}^{3} + 38 \)
\(47 = 48 - \frac{ 3 }{ 3 }\)
\(48 = \sqrt{384 \cdot 3 !}\)
\(49 = 83 - 34 \)
\(50 = 3 \cdot 4 + 38 \)
\(51 = 84 - 33 \)
\(52 = ( 3 + 3 ) \cdot 8 + 4 \)
\(53 = 4^{3} - 3 - 8 \)
\(54 = 43 + 3 + 8 \)
\(55 = ( 4! - 3 ) \cdot 3 - 8 \)
\(56 = 83 - 3 - 4 !\)
\(57 = 3 \cdot 3 + 48 \)
\(58 = \frac{ 348 }{ 3 ! }\)
\(59 = 38 - 3 + 4 !\)
\(60 = ( 8 - 3 ) \cdot 3 \cdot 4 \)
\(61 = ( 8 - 4 )^{3} - 3 \)
\(62 = 3! \cdot 4 + 38 \)
\(63 = ( ( 8 - 4 )! - 3 ) \cdot 3 \)
\(64 = \frac{ 384 }{ 3 ! }\)
\(65 = 4 \cdot 8 + 33 \)
\(66 = \frac{ 33 \cdot 8 }{ 4 }\)
\(67 = 3 \cdot 8 + 43 \)
\(68 = ( 8 - 3! ) \cdot 34 \)
\(69 = 4^{3} - 3 + 8 \)
\(70 = ( 38 - 3 ) \cdot \sqrt{4 }\)
\(71 = 83 - 3 \cdot 4 \)
\(72 = 34 + 38 \)
\(73 = \frac{ 438 }{ 3 ! }\)
\(74 = 33 \cdot \sqrt{4} + 8 \)
\(75 = 3^{3} + 48 \)
\(76 = 83 - 3 - 4 \)
\(77 = ( 8 - 3 )! - 43 \)
\(78 = ( 34 - 8 ) \cdot 3 \)
\(79 = 38 \cdot \sqrt{4} + 3 \)
\(80 = ( 3 + 3 + 4 ) \cdot 8 \)
\(81 = 33 + 48 \)
\(82 = 83 + 3 - 4 \)
\(83 = ( 4 - 3 ) \cdot 83 \)
\(84 = 83 - 3 + 4 \)
\(85 = \frac{ 3 }{ 3 } + 84 \)
\(86 = ( 8 - 3 )! - 34 \)
\(87 = 84 - 3 + 3 !\)
\(88 = 83 + 3 + \sqrt{4 }\)
\(89 = 3 \cdot \sqrt{4} + 83 \)
\(90 = 83 + 3 + 4 \)
\(91 = 3! \cdot 8 + 43 \)
\(92 = 3^{\sqrt{4}} + 83 \)
\(93 = 3 \cdot 3 + 84 \)
\(94 = 34 \cdot 3 - 8 \)
\(95 = 3 \cdot 4 + 83 \)
\(96 = \frac{ 48 }{ 3 } \cdot 3 !\)
\(97 = 8^{\sqrt{4}} + 33 \)
\(98 = ( 3 + 4 ) \cdot ( 3! + 8 )\)
\(99 = \frac{ 33 \cdot 4! }{ 8 }\)
\(100 = ( 33 - 8 ) \cdot 4 \)