All 100 targets have a solution.
\(1 = 39^{8 - 8 }\)
\(2 = \frac{ 8 }{ 9 - ( 8 - 3 ) }\)
\(3 = \frac{ \sqrt{89 - 8} }{ 3 }\)
\(4 = 8 - 3 + 8 - 9 \)
\(5 = 93 - 88 \)
\(6 = 89 - 83 \)
\(7 = \sqrt{88 - 39 }\)
\(8 = 89 - \sqrt{3^{8 }}\)
\(9 = ( 8 - 8 ) \cdot 3 + 9 \)
\(10 = \frac{ 38 - 8 }{ \sqrt{9 } }\)
\(11 = 83 - 8 \cdot 9 \)
\(12 = \sqrt{89 - 8} + 3 \)
\(13 = \sqrt{889 - 3 !!}\)
\(14 = 38 - 8 \cdot \sqrt{9 }\)
\(15 = 98 - 83 \)
\(16 = ( 3 + 8 - 9 ) \cdot 8 \)
\(17 = 98 - \sqrt{3^{8 }}\)
\(18 = ( 3 - \frac{ 8 }{ 8 } ) \cdot 9 \)
\(19 = \frac{ 9 }{ 3 } + 8 + 8 \)
\(20 = \sqrt{8 \cdot 8} + 3 + 9 \)
\(21 = 38 - 8 - 9 \)
\(22 = ( 8 - 3 )! - 98 \)
\(23 = 39 - 8 - 8 \)
\(24 = ( 9 - 8 ) \cdot 3 \cdot 8 \)
\(25 = 8 \cdot 8 - 39 \)
\(26 = 3 \cdot 9 - \frac{ 8 }{ 8 }\)
\(27 = \frac{ 89 - 8 }{ 3 }\)
\(28 = 3 + 8 + 8 + 9 \)
\(29 = \sqrt{838 + \sqrt{9 }}\)
\(30 = \frac{ 98 - 8 }{ 3 }\)
\(31 = 39 - \sqrt{8 \cdot 8 }\)
\(32 = ( 9 - ( 8 - 3 ) ) \cdot 8 \)
\(33 = 38 - 8 + \sqrt{9 }\)
\(34 = 8 \cdot 9 - 38 \)
\(35 = 39 - \sqrt{8 + 8 }\)
\(36 = ( \frac{ 8 }{ 8 } + 3 ) \cdot 9 \)
\(37 = 38 + 8 - 9 \)
\(38 = ( 9 - 8 ) \cdot 38 \)
\(39 = 38 - 8 + 9 \)
\(40 = \frac{ 8 }{ 8 } + 39 \)
\(41 = 89 - 3! \cdot 8 \)
\(42 = ( 8 + 8 - 9 ) \cdot 3 !\)
\(43 = 38 + 8 - \sqrt{9 }\)
\(44 = \frac{ 88 \cdot 3 }{ \sqrt{9 }! }\)
\(45 = ( 3! - \frac{ 8 }{ 8 } ) \cdot 9 \)
\(46 = ( 8 - 3 ) \cdot 8 + \sqrt{9 }!\)
\(47 = \sqrt{8 \cdot 8} + 39 \)
\(48 = \frac{ ( 8 + 8 ) \cdot 9 }{ 3 }\)
\(49 = 88 - 39 \)
\(50 = 98 - 3! \cdot 8 \)
\(51 = 89 - 38 \)
\(52 = 8 \cdot 8 - 3 - 9 \)
\(53 = ( 8 - 3 ) \cdot 9 + 8 \)
\(54 = \sqrt{89 - 8} \cdot 3 !\)
\(55 = 38 + 8 + 9 \)
\(56 = \frac{ 8^{3} - 8 }{ 9 }\)
\(57 = ( 8 + 8 ) \cdot 3 + 9 \)
\(58 = 8 \cdot 8 + 3 - 9 \)
\(59 = 83 - 8 \cdot \sqrt{9 }\)
\(60 = 98 - 38 \)
\(61 = 88 - 3 \cdot 9 \)
\(62 = 8 \cdot \sqrt{9} + 38 \)
\(63 = \sqrt{8 + 8}! + 39 \)
\(64 = 8^{3 + 8 - 9 }\)
\(65 = 89 - 3 \cdot 8 \)
\(66 = 83 - 8 - 9 \)
\(67 = 8 \cdot 9 + 3 - 8 \)
\(68 = \sqrt{\frac{ \sqrt{3!^{8}} + 8! }{ 9 }}\)
\(69 = 83 - 8 - \sqrt{9 }!\)
\(70 = 8 \cdot 8 - 3 + 9 \)
\(71 = \frac{ 9! }{ 3!! \cdot 8 } + 8 \)
\(72 = 83 - 8 - \sqrt{9 }\)
\(73 = 88 - 3! - 9 \)
\(74 = 98 - 3 \cdot 8 \)
\(75 = 89 - 3! - 8 \)
\(76 = 88 - 3 - 9 \)
\(77 = 93 - 8 - 8 \)
\(78 = 89 - 3 - 8 \)
\(79 = 88 - 3 \cdot \sqrt{9 }\)
\(80 = 89 - \sqrt{\sqrt{3^{8 }}}\)
\(81 = 9^{3 - \frac{ 8 }{ 8 }}\)
\(82 = 83 + 8 - 9 \)
\(83 = ( 9 - 8 ) \cdot 83 \)
\(84 = 83 - 8 + 9 \)
\(85 = 88 - \frac{ 9 }{ 3 }\)
\(86 = 8 \cdot \sqrt{9}! + 38 \)
\(87 = 98 - 3 - 8 \)
\(88 = 83 + 8 - \sqrt{9 }\)
\(89 = \frac{ 3 }{ \sqrt{9} } + 88 \)
\(90 = ( 38 - 8 ) \cdot \sqrt{9 }\)
\(91 = \frac{ 9 }{ 3 } + 88 \)
\(92 = 93 - \frac{ 8 }{ 8 }\)
\(93 = 93 - 8 + 8 \)
\(94 = 88 - 3 + 9 \)
\(95 = \sqrt{\sqrt{8 + 8}} + 93 \)
\(96 = 98 + 3! - 8 \)
\(97 = 3 \cdot \sqrt{9} + 88 \)
\(98 = \sqrt{\sqrt{3^{8}}} + 89 \)
\(99 = ( \sqrt{8 \cdot 8} + 3 ) \cdot 9 \)
\(100 = 83 + 8 + 9 \)