All 100 targets have a solution.
\(1 = 59^{8 - 8 }\)
\(2 = \sqrt{89 - 85 }\)
\(3 = 9 - ( \frac{ 8 }{ 8 } + 5 )\)
\(4 = 89 - 85 \)
\(5 = 8 \cdot 8 - 59 \)
\(6 = 8 - \frac{ 8 }{ 9 - 5 }\)
\(7 = 95 - 88 \)
\(8 = 9 - 5^{8 - 8 }\)
\(9 = ( 8 - 8 ) \cdot 5 + 9 \)
\(10 = 5^{8 - 8} + 9 \)
\(11 = \frac{ 85 + \sqrt{9} }{ 8 }\)
\(12 = 5 + 8 + 8 - 9 \)
\(13 = 98 - 85 \)
\(14 = 8 \cdot 9 - 58 \)
\(15 = \sqrt{58 - 9} + 8 \)
\(16 = \frac{ 8 }{ 9 - 5 } \cdot 8 \)
\(17 = \frac{ 85 }{ 8 - \sqrt{9 } }\)
\(18 = \frac{ 98 - 8 }{ 5 }\)
\(19 = ( 8 - 5 ) \cdot 9 - 8 \)
\(20 = 8 - 5 + 8 + 9 \)
\(21 = ( 8 - 5 ) \cdot 8 - \sqrt{9 }\)
\(22 = \frac{ 88 }{ 9 - 5 }\)
\(23 = 5! - 88 - 9 \)
\(24 = ( 89 - 85 )!\)
\(25 = \frac{ 5! + 8 }{ 8 } + 9 \)
\(26 = 5! - 88 - \sqrt{9 }!\)
\(27 = ( \sqrt{8 \cdot 8} - 5 ) \cdot 9 \)
\(28 = \sqrt{8 + 8}! - 5 + 9 \)
\(29 = 88 - 59 \)
\(30 = 5! - 98 + 8 \)
\(31 = 89 - 58 \)
\(32 = ( 5 + 8 - 9 ) \cdot 8 \)
\(33 = \sqrt{98 \cdot 8} + 5 \)
\(34 = 58 - 8 \cdot \sqrt{9 }\)
\(35 = ( 8 - 5 ) \cdot 9 + 8 \)
\(36 = ( 5 - \frac{ 8 }{ 8 } ) \cdot 9 \)
\(37 = 5^{\sqrt{9}} - 88 \)
\(38 = 5! - 88 + \sqrt{9 }!\)
\(39 = 5! - 89 + 8 \)
\(40 = 98 - 58 \)
\(41 = 58 - 8 - 9 \)
\(42 = \sqrt{588 \cdot \sqrt{9 }}\)
\(43 = 59 - 8 - 8 \)
\(44 = \frac{ 88 }{ 5 - \sqrt{9 } }\)
\(45 = \sqrt{89 - 8} \cdot 5 \)
\(46 = 5 \cdot 9 + \frac{ 8 }{ 8 }\)
\(47 = 58 - 8 - \sqrt{9 }\)
\(48 = ( 9 - ( 8 - 5 ) ) \cdot 8 \)
\(49 = 89 - 5 \cdot 8 \)
\(50 = 8 \cdot 8 - 5 - 9 \)
\(51 = 59 - \sqrt{8 \cdot 8 }\)
\(52 = 58 - \sqrt{\frac{ 9! }{ 8 ! }}!\)
\(53 = 58 - 8 + \sqrt{9 }\)
\(54 = ( \frac{ 8 }{ 8 } + 5 ) \cdot 9 \)
\(55 = 59 - \sqrt{8 + 8 }\)
\(56 = \sqrt{58 - 9} \cdot 8 \)
\(57 = 58 + 8 - 9 \)
\(58 = ( 9 - 8 ) \cdot 58 \)
\(59 = 58 - 8 + 9 \)
\(60 = \frac{ 8 }{ 8 } + 59 \)
\(61 = 85 - 8 \cdot \sqrt{9 }\)
\(62 = ( 8 - \sqrt{9} )! - 58 \)
\(63 = 58 + 8 - \sqrt{9 }\)
\(64 = 88 - ( 9 - 5 )!\)
\(65 = 5! - 8 \cdot 8 + 9 \)
\(66 = 8 \cdot 8 + 5 - \sqrt{9 }\)
\(67 = \sqrt{8 \cdot 8} + 59 \)
\(68 = 85 - 8 - 9 \)
\(69 = 58 + 8 + \sqrt{9 }\)
\(70 = ( 5 + 8 ) \cdot \sqrt{9}! - 8 \)
\(71 = ( 8 + 8 ) \cdot 5 - 9 \)
\(72 = 58 + 8 + \sqrt{9 }!\)
\(73 = 88 - 5 \cdot \sqrt{9 }\)
\(74 = 88 - 5 - 9 \)
\(75 = 58 + 8 + 9 \)
\(76 = 89 - 5 - 8 \)
\(77 = ( 8 + 9 ) \cdot 5 - 8 \)
\(78 = 8 \cdot 8 + 5 + 9 \)
\(79 = 95 - 8 - 8 \)
\(80 = 85 - 8 + \sqrt{9 }\)
\(81 = 9^{8 - ( 8 - 5 )!}\)
\(82 = 8 \cdot \sqrt{9} + 58 \)
\(83 = 89 - ( 8 - 5 )!\)
\(84 = 85 + 8 - 9 \)
\(85 = ( 9 - 8 ) \cdot 85 \)
\(86 = 85 - 8 + 9 \)
\(87 = 95 - \sqrt{8 \cdot 8 }\)
\(88 = ( \sqrt{9}! - 5 ) \cdot 88 \)
\(89 = ( 8 + 8 ) \cdot 5 + 9 \)
\(90 = 85 + 8 - \sqrt{9 }\)
\(91 = 95 - \sqrt{8 + 8 }\)
\(92 = 88 - 5 + 9 \)
\(93 = ( 8 + 9 ) \cdot 5 + 8 \)
\(94 = 95 - \frac{ 8 }{ 8 }\)
\(95 = 95 - 8 + 8 \)
\(96 = \frac{ 8 }{ 8 } + 95 \)
\(97 = \sqrt{\sqrt{8 + 8}} + 95 \)
\(98 = \frac{ 588 }{ \sqrt{9 }! }\)
\(99 = \sqrt{8 + 8} + 95 \)
\(100 = \sqrt{\frac{ \sqrt{9}!! }{ 5 }} + 88 \)