All 100 targets have a solution.
\(1 = 59 - 58 \)
\(2 = \sqrt{58 - 9} - 5 \)
\(3 = 5 - \frac{ 8 }{ 9 - 5 }\)
\(4 = 5 - ( 9 - 8 )^{5 }\)
\(5 = \frac{ 55 }{ 8 + \sqrt{9 } }\)
\(6 = ( 8 - 5 ) \cdot 5 - 9 \)
\(7 = \frac{ 55 + 8 }{ 9 }\)
\(8 = \frac{ 55 + 9 }{ 8 }\)
\(9 = \sqrt{85 + 5 - 9 }\)
\(10 = 95 - 85 \)
\(11 = \frac{ 95 }{ 5 } - 8 \)
\(12 = \sqrt{55 + 89 }\)
\(13 = 58 - 5 \cdot 9 \)
\(14 = \frac{ 85 }{ 5 } - \sqrt{9 }\)
\(15 = \frac{ 9 }{ 8 - 5 } \cdot 5 \)
\(16 = \sqrt{55 + 9} + 8 \)
\(17 = 8 \cdot 9 - 55 \)
\(18 = \sqrt{95 + 5} + 8 \)
\(19 = 59 - 5 \cdot 8 \)
\(20 = \frac{ 85 }{ 5 } + \sqrt{9 }\)
\(21 = \frac{ 55 + 8 }{ \sqrt{9 } }\)
\(22 = ( 8 - 5 ) \cdot 9 - 5 \)
\(23 = \frac{ 85 }{ 5 } + \sqrt{9 }!\)
\(24 = \sqrt{585 - 9 }\)
\(25 = 5^{\frac{ 8 }{ 9 - 5 }}\)
\(26 = 85 - 59 \)
\(27 = \frac{ 95 }{ 5 } + 8 \)
\(28 = ( 9 - 5 ) \cdot 5 + 8 \)
\(29 = \frac{ 58 }{ 5 - \sqrt{9 } }\)
\(30 = \sqrt{895 + 5 }\)
\(31 = 55 - 8 \cdot \sqrt{9 }\)
\(32 = 5 \cdot 9 - 5 - 8 \)
\(33 = 5! - 95 + 8 \)
\(34 = 89 - 55 \)
\(35 = \sqrt{58 - 9} \cdot 5 \)
\(36 = 5! - 89 + 5 \)
\(37 = 95 - 58 \)
\(38 = 55 - 8 - 9 \)
\(39 = ( 8 - 5 )! \cdot 5 + 9 \)
\(40 = 85 - 5 \cdot 9 \)
\(41 = 55 - 8 - \sqrt{9 }!\)
\(42 = 5 \cdot 5 + 8 + 9 \)
\(43 = 98 - 55 \)
\(44 = 58 - 5 - 9 \)
\(45 = 85 - \frac{ 5! }{ \sqrt{9 } }\)
\(46 = 59 - 5 - 8 \)
\(47 = 8 \cdot 9 - 5 \cdot 5 \)
\(48 = 5 \cdot 9 - 5 + 8 \)
\(49 = \sqrt{5 \cdot 5} \cdot 8 + 9 \)
\(50 = 55 - 8 + \sqrt{9 }\)
\(51 = \frac{ 85 }{ 5 } \cdot \sqrt{9 }\)
\(52 = ( 5 + 8 ) \cdot ( 9 - 5 )\)
\(53 = 5! - 58 - 9 \)
\(54 = 55 + 8 - 9 \)
\(55 = ( 9 - 8 ) \cdot 55 \)
\(56 = 55 - 8 + 9 \)
\(57 = 55 + 8 - \sqrt{9 }!\)
\(58 = 5 \cdot 9 + 5 + 8 \)
\(59 = 58 - 5 + \sqrt{9 }!\)
\(60 = 55 + 8 - \sqrt{9 }\)
\(61 = 85 - ( 9 - 5 )!\)
\(62 = \frac{ 558 }{ 9 }\)
\(63 = ( 8 - \frac{ 5 }{ 5 } ) \cdot 9 \)
\(64 = 89 - 5 \cdot 5 \)
\(65 = \frac{ 585 }{ 9 }\)
\(66 = 55 + 8 + \sqrt{9 }\)
\(67 = 5^{\sqrt{9}} - 58 \)
\(68 = ( 5 + 8 ) \cdot 5 + \sqrt{9 }\)
\(69 = 5! - 59 + 8 \)
\(70 = 85 - 5 \cdot \sqrt{9 }\)
\(71 = 85 - 5 - 9 \)
\(72 = 55 + 8 + 9 \)
\(73 = 98 - 5 \cdot 5 \)
\(74 = \frac{ 5! }{ 8 } + 59 \)
\(75 = ( ( 8 - 5 )! + 9 ) \cdot 5 \)
\(76 = \sqrt{\sqrt{( 5 + 9 )^{8}}} - 5 !\)
\(77 = 85 - 5 - \sqrt{9 }\)
\(78 = ( 5 + 9 ) \cdot 5 + 8 \)
\(79 = 89 - 5 - 5 \)
\(80 = \sqrt{95 + 5} \cdot 8 \)
\(81 = 85 + 5 - 9 \)
\(82 = 95 - 5 - 8 \)
\(83 = 85 - 5 + \sqrt{9 }\)
\(84 = 89 - \sqrt{5 \cdot 5 }\)
\(85 = 5 \cdot 8 + 5 \cdot 9 \)
\(86 = 85 - 5 + \sqrt{9 }!\)
\(87 = 85 + 5 - \sqrt{9 }\)
\(88 = 89 - \frac{ 5 }{ 5 }\)
\(89 = 85 - 5 + 9 \)
\(90 = \frac{ 5 }{ 5 } + 89 \)
\(91 = \sqrt{\sqrt{( 5 + 5 )^{8}}} - 9 \)
\(92 = 95 + 5 - 8 \)
\(93 = \frac{ 558 }{ \sqrt{9 }! }\)
\(94 = \sqrt{5 \cdot 5} + 89 \)
\(95 = \frac{ 855 }{ 9 }\)
\(96 = 85 + 5 + \sqrt{9 }!\)
\(97 = 98 - \frac{ 5 }{ 5 }\)
\(98 = 95 - 5 + 8 \)
\(99 = 5 \cdot 8 + 59 \)
\(100 = 5 \cdot \sqrt{9} + 85 \)