All 100 targets have a solution.
\(1 = \frac{ 38 }{ 38 }\)
\(2 = 83 - \sqrt{3^{8 }}\)
\(3 = 8 - \sqrt{33 - 8 }\)
\(4 = \frac{ 38 - 3! }{ 8 }\)
\(5 = \frac{ 38 - 8 }{ 3 ! }\)
\(6 = 8 - ( 8 - ( 3 + 3 ) )\)
\(7 = \sqrt{33 + 8 + 8 }\)
\(8 = ( 3 - 3 ) \cdot 8 + 8 \)
\(9 = 8^{3 - 3} + 8 \)
\(10 = \frac{ 38 - 8 }{ 3 }\)
\(11 = \sqrt{33 + 88 }\)
\(12 = ( \frac{ 8 }{ 8 } + 3 ) \cdot 3 \)
\(13 = \sqrt{33 - 8} + 8 \)
\(14 = 38 - 3 \cdot 8 \)
\(15 = \sqrt{( 83 - 8 ) \cdot 3 }\)
\(16 = \sqrt{33 \cdot 8 - 8 }\)
\(17 = 33 - 8 - 8 \)
\(18 = \frac{ 3! }{ 3 } + 8 + 8 \)
\(19 = \frac{ 38 }{ 8 - 3 ! }\)
\(20 = \sqrt{3 \cdot 3! \cdot 8} + 8 \)
\(21 = ( \frac{ 8 }{ 8 } + 3 )! - 3 \)
\(22 = 3 + 3 + 8 + 8 \)
\(23 = ( 8 - 3 ) \cdot 3 + 8 \)
\(24 = 38 - 3! - 8 \)
\(25 = \frac{ 83 - 8 }{ 3 }\)
\(26 = 3^{3} - \frac{ 8 }{ 8 }\)
\(27 = 38 - 3 - 8 \)
\(28 = 3^{3} + \frac{ 8 }{ 8 }\)
\(29 = \sqrt{833 + 8 }\)
\(30 = ( 8 - 3! + 8 ) \cdot 3 \)
\(31 = 8 \cdot 8 - 33 \)
\(32 = 33 - \frac{ 8 }{ 8 }\)
\(33 = 33 - 8 + 8 \)
\(34 = \frac{ 8 }{ 8 } + 33 \)
\(35 = 83 - 3! \cdot 8 \)
\(36 = 38 + 3! - 8 \)
\(37 = \sqrt{8 + 8} + 33 \)
\(38 = \sqrt{38 \cdot 38 }\)
\(39 = ( 8 - 3 + 8 ) \cdot 3 \)
\(40 = \sqrt{33 - 8} \cdot 8 \)
\(41 = \sqrt{8 \cdot 8} + 33 \)
\(42 = ( 8 + 8 ) \cdot 3 - 3 !\)
\(43 = 38 - 3 + 8 \)
\(44 = \frac{ 88 \cdot 3 }{ 3 ! }\)
\(45 = 83 - 38 \)
\(46 = ( 8 - 3 ) \cdot 8 + 3 !\)
\(47 = \sqrt{\sqrt{3^{8}}} + 38 \)
\(48 = ( 3 \cdot 8 - 8 ) \cdot 3 \)
\(49 = 33 + 8 + 8 \)
\(50 = ( 3! + 8 ) \cdot 3 + 8 \)
\(51 = ( 8 + 8 ) \cdot 3 + 3 \)
\(52 = \sqrt{338 \cdot 8 }\)
\(53 = 3! \cdot 8 - 3 + 8 \)
\(54 = ( 8 + 8 ) \cdot 3 + 3 !\)
\(55 = 88 - 33 \)
\(56 = ( 8 - \frac{ 3 }{ 3 } ) \cdot 8 \)
\(57 = ( 3 + 8 + 8 ) \cdot 3 \)
\(58 = 8 \cdot 8 - 3 - 3 \)
\(59 = 83 - 3 \cdot 8 \)
\(60 = ( 8 - 3! + 8 ) \cdot 3 !\)
\(61 = 88 - 3^{3 }\)
\(62 = 3 \cdot 8 + 38 \)
\(63 = 8 \cdot 8 - \frac{ 3 }{ 3 }\)
\(64 = 8^{8 - ( 3 + 3 )}\)
\(65 = \frac{ 3 }{ 3 } + 8 \cdot 8 \)
\(66 = \sqrt{\sqrt{8 + 8}} \cdot 33 \)
\(67 = \frac{ 8^{3} }{ 8 } + 3 \)
\(68 = \sqrt{( 8 - 3 ) \cdot 3!!} + 8 \)
\(69 = 83 - 3! - 8 \)
\(70 = 88 - 3 \cdot 3 !\)
\(71 = \sqrt{\frac{ 3 }{ 3 } + \frac{ 8! }{ 8 }}\)
\(72 = 83 - 3 - 8 \)
\(73 = 3 \cdot 3 + 8 \cdot 8 \)
\(74 = 83 - \sqrt{\sqrt{3^{8 }}}\)
\(75 = \sqrt{\sqrt{( 8 - 3 )^{8}}} \cdot 3 \)
\(76 = 38 + 38 \)
\(77 = \sqrt{\sqrt{\sqrt{( 83 - 3! )^{8 }}}}\)
\(78 = 83 + 3 - 8 \)
\(79 = 88 - 3 \cdot 3 \)
\(80 = 3 \cdot 3 \cdot 8 + 8 \)
\(81 = 83 + 3! - 8 \)
\(82 = 88 - 3 - 3 \)
\(83 = \sqrt{83 \cdot 83 }\)
\(84 = 3^{\sqrt{8 + 8}} + 3 \)
\(85 = 83 - 3! + 8 \)
\(86 = 3! \cdot 8 + 38 \)
\(87 = 88 - \frac{ 3 }{ 3 }\)
\(88 = 83 - 3 + 8 \)
\(89 = \frac{ 3 }{ 3 } + 88 \)
\(90 = ( 38 - 8 ) \cdot 3 \)
\(91 = 88 - 3 + 3 !\)
\(92 = \sqrt{\sqrt{3^{8}}} + 83 \)
\(93 = ( 8 + 8 ) \cdot 3! - 3 \)
\(94 = 83 + 3 + 8 \)
\(95 = \sqrt{3^{8}} + 3! + 8 \)
\(96 = ( 3 \cdot 8 + 8 ) \cdot 3 \)
\(97 = 8 \cdot 8 + 33 \)
\(98 = \frac{ ( 3 + 3 )! }{ 8 } + 8 \)
\(99 = ( 8 + 8 ) \cdot 3! + 3 \)
\(100 = 88 + 3! + 3 !\)