All 100 targets have a solution.
\(1 = \frac{ \frac{ 45 }{ 5 } }{ 9 }\)
\(2 = 9 - \sqrt{54 - 5 }\)
\(3 = \frac{ 9 }{ \sqrt{\frac{ 45 }{ 5 }} }\)
\(4 = \sqrt{55 + 9} - 4 \)
\(5 = 59 - 54 \)
\(6 = 55 - 49 \)
\(7 = \sqrt{45 - 5 + 9 }\)
\(8 = \frac{ 5 }{ 5 } + \sqrt{49 }\)
\(9 = \frac{ 54 - 9 }{ 5 }\)
\(10 = \frac{ 45 }{ 9 } + 5 \)
\(11 = \frac{ 54 }{ 9 } + 5 \)
\(12 = \sqrt{\frac{ 45 }{ 5 }} + 9 \)
\(13 = \frac{ 54 }{ \sqrt{9} } - 5 \)
\(14 = 59 - 45 \)
\(15 = \frac{ 95 }{ 5 } - 4 \)
\(16 = \frac{ 55 + 9 }{ 4 }\)
\(17 = \sqrt{49} + 5 + 5 \)
\(18 = \frac{ 45 }{ 5 } + 9 \)
\(19 = 55 - 4 \cdot 9 \)
\(20 = \frac{ 45 }{ \sqrt{9} } + 5 \)
\(21 = 45 - ( 9 - 5 )!\)
\(22 = 55 - 4! - 9 \)
\(23 = \frac{ 95 }{ 5 } + 4 \)
\(24 = 49 - 5 \cdot 5 \)
\(25 = \frac{ 45 \cdot 5 }{ 9 }\)
\(26 = 9^{\sqrt{4}} - 55 \)
\(27 = \sqrt{\frac{ 45 }{ 5 }} \cdot 9 \)
\(28 = 55 - 4! - \sqrt{9 }\)
\(29 = 59 - \frac{ 5! }{ 4 }\)
\(30 = \frac{ 54 \cdot 5 }{ 9 }\)
\(31 = 45 - 5 - 9 \)
\(32 = ( \sqrt{49} - 5 )^{5 }\)
\(33 = ( 5 - ( 5 - 4 ) )! + 9 \)
\(34 = 59 - 5^{\sqrt{4 }}\)
\(35 = \sqrt{49 \cdot 5 \cdot 5 }\)
\(36 = ( 5 - ( 5 - 4 ) ) \cdot 9 \)
\(37 = 45 - 5 - \sqrt{9 }\)
\(38 = \frac{ 95 \cdot \sqrt{4} }{ 5 }\)
\(39 = 94 - 55 \)
\(40 = 54 - 5 - 9 \)
\(41 = 95 - 54 \)
\(42 = 55 - 4 - 9 \)
\(43 = 45 - 5 + \sqrt{9 }\)
\(44 = 49 - \sqrt{5 \cdot 5 }\)
\(45 = \sqrt{45 \cdot 5 \cdot 9 }\)
\(46 = 54 - 5 - \sqrt{9 }\)
\(47 = 45 + 5 - \sqrt{9 }\)
\(48 = 55 - \sqrt{49 }\)
\(49 = 45 - 5 + 9 \)
\(50 = 95 - 45 \)
\(51 = ( 5 + 9 ) \cdot 4 - 5 \)
\(52 = 54 - 5 + \sqrt{9 }\)
\(53 = 45 + 5 + \sqrt{9 }\)
\(54 = \sqrt{5 \cdot 5} + 49 \)
\(55 = ( 4 - \sqrt{9} ) \cdot 55 \)
\(56 = 54 + 5 - \sqrt{9 }\)
\(57 = 5! - 54 - 9 \)
\(58 = 54 - 5 + 9 \)
\(59 = 45 + 5 + 9 \)
\(60 = 55 - 4 + 9 \)
\(61 = \sqrt{4 \cdot 9} + 55 \)
\(62 = \sqrt{49} + 55 \)
\(63 = \sqrt{54 - 5} \cdot 9 \)
\(64 = ( 5 \cdot 5 - 9 ) \cdot 4 \)
\(65 = ( 9 - 4 )! - 55 \)
\(66 = 5! - 45 - 9 \)
\(67 = 4 \cdot \sqrt{9} + 55 \)
\(68 = 54 + 5 + 9 \)
\(69 = 94 - 5 \cdot 5 \)
\(70 = ( 5 + 5 ) \cdot \sqrt{49 }\)
\(71 = 5^{\sqrt{9}} - 54 \)
\(72 = 5! - 45 - \sqrt{9 }\)
\(73 = \frac{ 5! }{ 5 } + 49 \)
\(74 = 5 \cdot 5 + 49 \)
\(75 = 95 - 4 \cdot 5 \)
\(76 = \frac{ 95 \cdot 4 }{ 5 }\)
\(77 = \sqrt{4}^{5} + 5 \cdot 9 \)
\(78 = ( 9 - 5 )! + 54 \)
\(79 = 4 \cdot 5 + 59 \)
\(80 = 5^{\sqrt{9}} - 45 \)
\(81 = \frac{ 45 }{ 5 } \cdot 9 \)
\(82 = 55 + 4! + \sqrt{9 }\)
\(83 = 95 - \sqrt{4! + 5 !}\)
\(84 = 94 - 5 - 5 \)
\(85 = 95 - \sqrt{4} \cdot 5 \)
\(86 = 95 - 4 - 5 \)
\(87 = ( 5 \cdot 5 + 4 ) \cdot \sqrt{9 }\)
\(88 = 55 + 4! + 9 \)
\(89 = \frac{ 5! }{ 4 } + 59 \)
\(90 = 5 \cdot 9 + 45 \)
\(91 = 4 \cdot 9 + 55 \)
\(92 = ( 55 - 9 ) \cdot \sqrt{4 }\)
\(93 = 94 - \frac{ 5 }{ 5 }\)
\(94 = 94 - 5 + 5 \)
\(95 = \frac{ 5 }{ 5 } + 94 \)
\(96 = 95 - 4 + 5 \)
\(97 = 4 \cdot 5 \cdot 5 - \sqrt{9 }\)
\(98 = 95 - \sqrt{4} + 5 \)
\(99 = \frac{ 495 }{ 5 }\)
\(100 = ( 5! - 95 ) \cdot 4 \)