All 100 targets have a solution.
\(1 = 58^{9 - 9 }\)
\(2 = 9 - \sqrt{58 - 9 }\)
\(3 = 98 - 95 \)
\(4 = 85 - 9 \cdot 9 \)
\(5 = 9 - ( 5 + 8 - 9 )\)
\(6 = 95 - 89 \)
\(7 = \frac{ 98 }{ 5 + 9 }\)
\(8 = 9 - ( 9 - 8 )^{5 }\)
\(9 = ( 9 - 8 )^{5} \cdot 9 \)
\(10 = ( 9 - 8 )^{5} + 9 \)
\(11 = \frac{ 8 }{ 9 - 5 } + 9 \)
\(12 = \frac{ 9 }{ 8 - 5 } + 9 \)
\(13 = 8 \cdot 9 - 59 \)
\(14 = 99 - 85 \)
\(15 = 9 - ( 8 - 5 ) + 9 \)
\(16 = \frac{ 89 - 9 }{ 5 }\)
\(17 = \frac{ 59 - 8 }{ \sqrt{9 } }\)
\(18 = \frac{ 8 }{ 9 - 5 } \cdot 9 \)
\(19 = \frac{ 95 }{ 8 - \sqrt{9 } }\)
\(20 = \sqrt{( 59 - 9 ) \cdot 8 }\)
\(21 = \sqrt{( 58 - 9 ) \cdot 9 }\)
\(22 = 5! - 89 - 9 \)
\(23 = 9 \cdot 9 - 58 \)
\(24 = ( 85 - 9 \cdot 9 )!\)
\(25 = ( 8 - \sqrt{9} )! - 95 \)
\(26 = ( 5 - \sqrt{9} ) \cdot 9 + 8 \)
\(27 = 5^{\sqrt{9}} - 98 \)
\(28 = \frac{ 89 - 5 }{ \sqrt{9 } }\)
\(29 = \frac{ 95 - 8 }{ \sqrt{9 } }\)
\(30 = 89 - 59 \)
\(31 = \sqrt{958 + \sqrt{9 }}\)
\(32 = ( 5 - \frac{ 9 }{ 9 } ) \cdot 8 \)
\(33 = \frac{ 99 }{ 8 - 5 }\)
\(34 = 5! - 89 + \sqrt{9 }\)
\(35 = 59 - 8 \cdot \sqrt{9 }\)
\(36 = 5^{\sqrt{9}} - 89 \)
\(37 = \sqrt{9 \cdot 9} \cdot 5 - 8 \)
\(38 = 8 \cdot \sqrt{9} + 5 + 9 \)
\(39 = 98 - 59 \)
\(40 = 58 - 9 - 9 \)
\(41 = 99 - 58 \)
\(42 = 59 - 8 - 9 \)
\(43 = 58 - 9 - \sqrt{9 }!\)
\(44 = 89 - 5 \cdot 9 \)
\(45 = ( 9 - 8 ) \cdot 5 \cdot 9 \)
\(46 = 58 - 9 - \sqrt{9 }\)
\(47 = 95 - 8 \cdot \sqrt{9 }!\)
\(48 = 59 - 8 - \sqrt{9 }\)
\(49 = 58 - \sqrt{9 \cdot 9 }\)
\(50 = ( 9 - 8 + 9 ) \cdot 5 \)
\(51 = 5! - 8 \cdot 9 + \sqrt{9 }\)
\(52 = 58 - 9 + \sqrt{9 }\)
\(53 = 98 - 5 \cdot 9 \)
\(54 = 59 - 8 + \sqrt{9 }\)
\(55 = 58 - \frac{ 9 }{ \sqrt{9 } }\)
\(56 = 5 \cdot 9 + 8 + \sqrt{9 }\)
\(57 = 58 - \frac{ 9 }{ 9 }\)
\(58 = 58 - 9 + 9 \)
\(59 = \frac{ 9 }{ 9 } + 58 \)
\(60 = 59 - 8 + 9 \)
\(61 = \frac{ 9 }{ \sqrt{9} } + 58 \)
\(62 = 5 \cdot 9 + 8 + 9 \)
\(63 = \sqrt{58 - 9} \cdot 9 \)
\(64 = 58 - \sqrt{9} + 9 \)
\(65 = 89 - ( 9 - 5 )!\)
\(66 = ( 5! - 98 ) \cdot \sqrt{9 }\)
\(67 = 85 - 9 - 9 \)
\(68 = 8 \cdot 9 + 5 - 9 \)
\(69 = 5 \cdot 9 + 8 \cdot \sqrt{9 }\)
\(70 = 58 + \sqrt{9} + 9 \)
\(71 = 95 - 8 \cdot \sqrt{9 }\)
\(72 = ( 9 - 5 )^{\sqrt{9}} + 8 \)
\(73 = 85 - 9 - \sqrt{9 }\)
\(74 = 89 - 5 \cdot \sqrt{9 }\)
\(75 = 89 - 5 - 9 \)
\(76 = 58 + 9 + 9 \)
\(77 = \sqrt{9 \cdot 9} \cdot 8 + 5 \)
\(78 = 95 - 8 - 9 \)
\(79 = 85 - 9 + \sqrt{9 }\)
\(80 = \frac{ ( 9 - ( 8 - 5 ) )! }{ 9 }\)
\(81 = 89 - 5 - \sqrt{9 }\)
\(82 = 85 - \frac{ 9 }{ \sqrt{9 } }\)
\(83 = 8 \cdot \sqrt{9} + 59 \)
\(84 = 85 - \frac{ 9 }{ 9 }\)
\(85 = 85 - 9 + 9 \)
\(86 = \frac{ 9 }{ 9 } + 85 \)
\(87 = 89 - 5 + \sqrt{9 }\)
\(88 = \frac{ 9 }{ \sqrt{9} } + 85 \)
\(89 = ( \sqrt{9}! - 5 ) \cdot 89 \)
\(90 = 95 - 8 + \sqrt{9 }\)
\(91 = 85 - \sqrt{9} + 9 \)
\(92 = 95 - \sqrt{\frac{ 9! }{ 8 ! }}\)
\(93 = 89 - 5 + 9 \)
\(94 = 95 + 8 - 9 \)
\(95 = ( 9 - 8 ) \cdot 95 \)
\(96 = 95 - 8 + 9 \)
\(97 = 85 + \sqrt{9} + 9 \)
\(98 = ( 9 + 9 ) \cdot 5 + 8 \)
\(99 = 98 - 5 + \sqrt{9 }!\)
\(100 = 95 + 8 - \sqrt{9 }\)