All 100 targets have a solution.
\(1 = 59^{9 - 9 }\)
\(2 = \sqrt{99 - 95 }\)
\(3 = 9 - ( \frac{ 9 }{ 9 } + 5 )\)
\(4 = 99 - 95 \)
\(5 = 9 - ( 5 - \frac{ 9 }{ 9 } )\)
\(6 = \frac{ 99 }{ 9 } - 5 \)
\(7 = \frac{ 9 + 9 }{ 9 } + 5 \)
\(8 = 9 - 5^{9 - 9 }\)
\(9 = ( 9 - 9 ) \cdot 5 + 9 \)
\(10 = 5^{9 - 9} + 9 \)
\(11 = \sqrt{\sqrt{9}!! - 599 }\)
\(12 = 5! - 99 - 9 \)
\(13 = 5 - \frac{ 9 }{ 9 } + 9 \)
\(14 = 95 - 9 \cdot 9 \)
\(15 = \frac{ 9 }{ 9 } + 5 + 9 \)
\(16 = \frac{ 99 }{ 9 } + 5 \)
\(17 = \frac{ 9 }{ \sqrt{9} } + 5 + 9 \)
\(18 = \frac{ 99 - 9 }{ 5 }\)
\(19 = \sqrt{9}! - 5 + 9 + 9 \)
\(20 = 5 - \sqrt{9} + 9 + 9 \)
\(21 = \frac{ 99 + \sqrt{9}! }{ 5 }\)
\(22 = 9 \cdot 9 - 59 \)
\(23 = \sqrt{9 \cdot 9} + 5 + 9 \)
\(24 = ( 99 - 95 )!\)
\(25 = 5^{\frac{ 9 + 9 }{ 9 }}\)
\(26 = 5^{\sqrt{9}} - 99 \)
\(27 = ( 9 - 5 ) \cdot 9 - 9 \)
\(28 = \frac{ 99 }{ \sqrt{9} } - 5 \)
\(29 = 5 + \sqrt{9}! + 9 + 9 \)
\(30 = 5! - 99 + 9 \)
\(31 = \sqrt{9} \cdot 9 - 5 + 9 \)
\(32 = 59 - \sqrt{9} \cdot 9 \)
\(33 = ( 5 - \frac{ 9 }{ 9 } )! + 9 \)
\(34 = \frac{ 5! + 9 }{ \sqrt{9} } - 9 \)
\(35 = \sqrt{9} \cdot 9 + 5 + \sqrt{9 }\)
\(36 = ( 5 - \frac{ 9 }{ 9 } ) \cdot 9 \)
\(37 = \frac{ ( 5! - 9 ) \cdot \sqrt{9} }{ 9 }\)
\(38 = \frac{ 99 }{ \sqrt{9} } + 5 \)
\(39 = ( 9 - 5 + 9 ) \cdot \sqrt{9 }\)
\(40 = 99 - 59 \)
\(41 = 59 - 9 - 9 \)
\(42 = ( 9 - 5 )! + 9 + 9 \)
\(43 = \frac{ ( 5! + 9 ) \cdot \sqrt{9} }{ 9 }\)
\(44 = 5 \cdot 9 - \frac{ 9 }{ 9 }\)
\(45 = ( 9 - ( 9 - 5 ) ) \cdot 9 \)
\(46 = 5 \cdot 9 + \frac{ 9 }{ 9 }\)
\(47 = 59 - 9 - \sqrt{9 }\)
\(48 = 5! - 9 \cdot 9 + 9 \)
\(49 = ( 9 - \sqrt{9} ) \cdot 9 - 5 \)
\(50 = 59 - \sqrt{9 \cdot 9 }\)
\(51 = ( 5 + 9 ) \cdot \sqrt{9} + 9 \)
\(52 = \frac{ 5! + 9 }{ \sqrt{9} } + 9 \)
\(53 = 59 - 9 + \sqrt{9 }\)
\(54 = 99 - 5 \cdot 9 \)
\(55 = \frac{ 99 \cdot 5 }{ 9 }\)
\(56 = 59 - \frac{ 9 }{ \sqrt{9 } }\)
\(57 = 5 \cdot 9 + \sqrt{9} + 9 \)
\(58 = 59 - \frac{ 9 }{ 9 }\)
\(59 = 59 - 9 + 9 \)
\(60 = \frac{ 9 }{ 9 } + 59 \)
\(61 = \frac{ \sqrt{9}! }{ \sqrt{9} } + 59 \)
\(62 = \frac{ 9 }{ \sqrt{9} } + 59 \)
\(63 = 5 \cdot 9 + 9 + 9 \)
\(64 = ( 5 - \frac{ 9 }{ 9 } )^{\sqrt{9 }}\)
\(65 = 59 - \sqrt{9} + 9 \)
\(66 = 9 \cdot 9 - 5 \cdot \sqrt{9 }\)
\(67 = 9 \cdot 9 - 5 - 9 \)
\(68 = \sqrt{9 \cdot 9} + 59 \)
\(69 = 99 - 5 \cdot \sqrt{9 }!\)
\(70 = 9 \cdot 9 - 5 - \sqrt{9 }!\)
\(71 = 59 + \sqrt{9} + 9 \)
\(72 = ( 9 - 5 ) \cdot ( 9 + 9 )\)
\(73 = \frac{ 99 + 5! }{ \sqrt{9 } }\)
\(74 = 59 + \sqrt{9}! + 9 \)
\(75 = 99 - ( 9 - 5 )!\)
\(76 = \sqrt{9 \cdot 9} \cdot 9 - 5 \)
\(77 = 59 + 9 + 9 \)
\(78 = ( 9 - 5 + 9 ) \cdot \sqrt{9 }!\)
\(79 = 9 \cdot 9 - 5 + \sqrt{9 }\)
\(80 = 95 - 9 - \sqrt{9 }!\)
\(81 = ( 9 + 9 ) \cdot 5 - 9 \)
\(82 = 9 \cdot 9 - 5 + \sqrt{9 }!\)
\(83 = 95 - 9 - \sqrt{9 }\)
\(84 = 99 - 5 \cdot \sqrt{9 }\)
\(85 = 99 - 5 - 9 \)
\(86 = \sqrt{9} \cdot 9 + 59 \)
\(87 = 5! - \frac{ 99 }{ \sqrt{9 } }\)
\(88 = 99 - 5 - \sqrt{9 }!\)
\(89 = 95 - 9 + \sqrt{9 }\)
\(90 = 9^{5 - \sqrt{9}} + 9 \)
\(91 = 99 - 5 - \sqrt{9 }\)
\(92 = 95 - \frac{ 9 }{ \sqrt{9 } }\)
\(93 = ( 9 + 9 ) \cdot 5 + \sqrt{9 }\)
\(94 = 95 - \frac{ 9 }{ 9 }\)
\(95 = 95 - 9 + 9 \)
\(96 = \frac{ 9 }{ 9 } + 95 \)
\(97 = 99 - 5 + \sqrt{9 }\)
\(98 = \frac{ 9 }{ \sqrt{9} } + 95 \)
\(99 = ( 9 + 9 ) \cdot 5 + 9 \)
\(100 = 99 - 5 + \sqrt{9 }!\)