All 100 targets have a solution.
\(1 = 45 - 44 \)
\(2 = 5 - ( 4 - \frac{ 4 }{ 4 } )\)
\(3 = \frac{ 5! }{ 44 - 4 }\)
\(4 = \sqrt{\frac{ 44 }{ 4 } + 5 }\)
\(5 = ( 4 - 4 ) \cdot 4 + 5 \)
\(6 = \frac{ 44 }{ 4 } - 5 \)
\(7 = \frac{ 4 + 4 }{ 4 } + 5 \)
\(8 = \frac{ 44 - 4 }{ 5 }\)
\(9 = \frac{ 54 \cdot 4 }{ 4 ! }\)
\(10 = 54 - 44 \)
\(11 = \sqrt{44 + 5} + 4 \)
\(12 = 44 - \sqrt{4}^{5 }\)
\(13 = \frac{ 54 - \sqrt{4} }{ 4 }\)
\(14 = \sqrt{( 44 + 5 ) \cdot 4 }\)
\(15 = 44 - 4! - 5 \)
\(16 = \frac{ 44 }{ 4 } + 5 \)
\(17 = \frac{ 44 }{ \sqrt{4} } - 5 \)
\(18 = \sqrt{444 - 5 !}\)
\(19 = \frac{ 5! - 44 }{ 4 }\)
\(20 = ( 4 - 4 + 4 ) \cdot 5 \)
\(21 = \sqrt{445 - 4 }\)
\(22 = ( 4 \cdot 4 - 5 ) \cdot \sqrt{4 }\)
\(23 = \frac{ 54 }{ \sqrt{4} } - 4 \)
\(24 = 44 - 4 \cdot 5 \)
\(25 = 44 - 4! + 5 \)
\(26 = 54 - 4! - 4 \)
\(27 = \frac{ 44 }{ \sqrt{4} } + 5 \)
\(28 = \sqrt{44 + 5} \cdot 4 \)
\(29 = 45 - 4 \cdot 4 \)
\(30 = \sqrt{( 4! - 4 ) \cdot 45 }\)
\(31 = \frac{ 54 }{ \sqrt{4} } + 4 \)
\(32 = ( \frac{ 4 + 4 }{ 4 } )^{5 }\)
\(33 = 45 - \frac{ 4! }{ \sqrt{4 } }\)
\(34 = 44 - \sqrt{4} \cdot 5 \)
\(35 = 44 - 4 - 5 \)
\(36 = ( 4 + 4 ) \cdot 5 - 4 \)
\(37 = 45 - 4 - 4 \)
\(38 = 54 - 4 \cdot 4 \)
\(39 = 45 - 4 - \sqrt{4 }\)
\(40 = ( 4 + 5 ) \cdot 4 + 4 \)
\(41 = 44 + \sqrt{4} - 5 \)
\(42 = 4 \cdot 4! - 54 \)
\(43 = 44 + 4 - 5 \)
\(44 = ( 5 - 4 ) \cdot 44 \)
\(45 = 44 - 4 + 5 \)
\(46 = \frac{ 4 }{ 4 } + 45 \)
\(47 = 44 - \sqrt{4} + 5 \)
\(48 = 54 - 4 - \sqrt{4 }\)
\(49 = \sqrt{4 \cdot 4} + 45 \)
\(50 = 54 - \sqrt{4 \cdot 4 }\)
\(51 = 44 + \sqrt{4} + 5 \)
\(52 = 54 - 4 + \sqrt{4 }\)
\(53 = 44 + 4 + 5 \)
\(54 = 54 - 4 + 4 \)
\(55 = \frac{ 44 }{ 4 } \cdot 5 \)
\(56 = 44 \cdot 4 - 5 !\)
\(57 = \frac{ 4! }{ \sqrt{4} } + 45 \)
\(58 = \sqrt{4 \cdot 4} + 54 \)
\(59 = 4 \cdot 4 \cdot 4 - 5 \)
\(60 = 54 + \sqrt{4} + 4 \)
\(61 = 4 \cdot 4 + 45 \)
\(62 = 54 + 4 + 4 \)
\(63 = 44 + 4! - 5 \)
\(64 = 4 \cdot 5 + 44 \)
\(65 = 45 - 4 + 4 !\)
\(66 = 45 \cdot \sqrt{4} - 4 !\)
\(67 = 45 - \sqrt{4} + 4 !\)
\(68 = 4^{5 - \sqrt{4}} + 4 \)
\(69 = 5^{\sqrt{4}} + 44 \)
\(70 = 4 \cdot 4 + 54 \)
\(71 = 45 + \sqrt{4} + 4 !\)
\(72 = 5! - ( 44 + 4 )\)
\(73 = 44 + 4! + 5 \)
\(74 = \frac{ 5! }{ 4 } + 44 \)
\(75 = ( 4! - 4 ) \cdot 4 - 5 \)
\(76 = \sqrt{4}^{5} + 44 \)
\(77 = ( 5 - \sqrt{4} )^{4} - 4 \)
\(78 = ( 44 - 5 ) \cdot \sqrt{4 }\)
\(79 = ( 5 - \sqrt{4} )^{4} - \sqrt{4 }\)
\(80 = 5! - ( 44 - 4 )\)
\(81 = ( 4 + 4 - 5 )^{4 }\)
\(82 = ( 45 - 4 ) \cdot \sqrt{4 }\)
\(83 = 44 \cdot \sqrt{4} - 5 \)
\(84 = ( 45 - 4! ) \cdot 4 \)
\(85 = ( 4! - 4 ) \cdot 4 + 5 \)
\(86 = 45 \cdot \sqrt{4} - 4 \)
\(87 = 4 \cdot 4! - 4 - 5 \)
\(88 = 45 \cdot \sqrt{4} - \sqrt{4 }\)
\(89 = 44 + 45 \)
\(90 = \frac{ 45 \cdot 4 }{ \sqrt{4 } }\)
\(91 = \sqrt{4 \cdot 4} \cdot 4! - 5 \)
\(92 = 45 \cdot \sqrt{4} + \sqrt{4 }\)
\(93 = 44 \cdot \sqrt{4} + 5 \)
\(94 = 45 \cdot \sqrt{4} + 4 \)
\(95 = 4 \cdot 4! + 4 - 5 \)
\(96 = ( 4 \cdot 5 + 4 ) \cdot 4 \)
\(97 = 4 \cdot 4! - 4 + 5 \)
\(98 = 44 + 54 \)
\(99 = 4 \cdot 4! - \sqrt{4} + 5 \)
\(100 = ( 44 - 4! ) \cdot 5 \)