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