All 100 targets have a solution.
\(1 = 58^{4 - 4 }\)
\(2 = \sqrt{44 - 5 \cdot 8 }\)
\(3 = 48 - 45 \)
\(4 = 44 - 5 \cdot 8 \)
\(5 = \sqrt{85 - 4} - 4 \)
\(6 = 54 - 48 \)
\(7 = \frac{ 48 }{ 4 } - 5 \)
\(8 = \sqrt{84 - 4 \cdot 5 }\)
\(9 = \frac{ 54 }{ 8 - \sqrt{4 } }\)
\(10 = \frac{ 48 }{ 4! } \cdot 5 \)
\(11 = \sqrt{44 - 8} + 5 \)
\(12 = \frac{ 84 - 4! }{ 5 }\)
\(13 = 45 - 4 \cdot 8 \)
\(14 = 58 - 44 \)
\(15 = \sqrt{44 + 5} + 8 \)
\(16 = \frac{ 84 }{ 4 } - 5 \)
\(17 = \sqrt{484} - 5 \)
\(18 = \frac{ 5! - 48 }{ 4 }\)
\(19 = 8^{\sqrt{4}} - 45 \)
\(20 = \sqrt{( 54 - 4 ) \cdot 8 }\)
\(21 = 45 - ( 8 - 4 )!\)
\(22 = 54 - 4 \cdot 8 \)
\(23 = 48 - 5^{\sqrt{4 }}\)
\(24 = ( 44 - 5 \cdot 8 )!\)
\(25 = 5^{\frac{ 48 }{ 4 ! }}\)
\(26 = \frac{ 84 }{ 4 } + 5 \)
\(27 = \sqrt{484} + 5 \)
\(28 = 48 - 4 \cdot 5 \)
\(29 = \sqrt{845 - 4 }\)
\(30 = 84 - 54 \)
\(31 = 44 - 5 - 8 \)
\(32 = ( \frac{ 48 }{ 4! } )^{5 }\)
\(33 = 45 - 4 - 8 \)
\(34 = 58 - \sqrt{4 \cdot 4 }!\)
\(35 = 45 - \sqrt{4} - 8 \)
\(36 = 4! \cdot 5 - 84 \)
\(37 = \frac{ 84 }{ \sqrt{4} } - 5 \)
\(38 = 44 - ( 8 - 5 )!\)
\(39 = 84 - 45 \)
\(40 = 5! - ( 84 - 4 )\)
\(41 = 85 - 44 \)
\(42 = 54 - 4 - 8 \)
\(43 = 45 - \frac{ 8 }{ 4 }\)
\(44 = 54 - \sqrt{4} - 8 \)
\(45 = \sqrt{45^{\frac{ 8 }{ 4 }}}\)
\(46 = \sqrt{54^{\sqrt{4}}} - 8 \)
\(47 = 44 - 5 + 8 \)
\(48 = ( 5 - 4 ) \cdot 48 \)
\(49 = 45 - 4 + 8 \)
\(50 = 54 + 4 - 8 \)
\(51 = 45 - \sqrt{4} + 8 \)
\(52 = 54 - \frac{ 8 }{ 4 }\)
\(53 = ( 4 + 8 ) \cdot 4 + 5 \)
\(54 = \sqrt{54^{\frac{ 8 }{ 4 }}}\)
\(55 = 45 + \sqrt{4} + 8 \)
\(56 = \frac{ 8 }{ 4 } + 54 \)
\(57 = 44 + 5 + 8 \)
\(58 = 54 - 4 + 8 \)
\(59 = \frac{ 4 }{ 4 } + 58 \)
\(60 = \frac{ 48 }{ 4 } \cdot 5 \)
\(61 = 45 + 4! - 8 \)
\(62 = \sqrt{4 \cdot 4} + 58 \)
\(63 = 85 - 4! + \sqrt{4 }\)
\(64 = 84 - 4 \cdot 5 \)
\(65 = 84 - 4! + 5 \)
\(66 = 54 + 4 + 8 \)
\(67 = 48 + 4! - 5 \)
\(68 = \frac{ 544 }{ 8 }\)
\(69 = 85 - 4 \cdot 4 \)
\(70 = 54 + 4! - 8 \)
\(71 = 8^{\sqrt{4}} + \sqrt{4} + 5 \)
\(72 = 48 \cdot 4 - 5 !\)
\(73 = 5^{\sqrt{4}} + 48 \)
\(74 = 4 \cdot 4 + 58 \)
\(75 = 84 - 4 - 5 \)
\(76 = 5! - ( 48 - 4 )\)
\(77 = 4 \cdot 8 + 45 \)
\(78 = \frac{ 5! }{ 4 } + 48 \)
\(79 = 85 - 4 - \sqrt{4 }\)
\(80 = \sqrt{4}^{5} + 48 \)
\(81 = 84 + \sqrt{4} - 5 \)
\(82 = 45 \cdot \sqrt{4} - 8 \)
\(83 = 84 + 4 - 5 \)
\(84 = 5 \cdot 8 + 44 \)
\(85 = 84 - 4 + 5 \)
\(86 = 4 \cdot 8 + 54 \)
\(87 = 84 - \sqrt{4} + 5 \)
\(88 = ( 4 \cdot 4 - 5 ) \cdot 8 \)
\(89 = \sqrt{4 \cdot 4} + 85 \)
\(90 = \frac{ 45 \cdot 8 }{ 4 }\)
\(91 = 48 \cdot \sqrt{4} - 5 \)
\(92 = ( 54 - 8 ) \cdot \sqrt{4 }\)
\(93 = 45 + 48 \)
\(94 = \sqrt{4} \cdot 5 + 84 \)
\(95 = \frac{ ( \sqrt{4} + 4 )! }{ 8 } + 5 \)
\(96 = 5! - \frac{ 48 }{ \sqrt{4 } }\)
\(97 = \frac{ 4! }{ \sqrt{4} } + 85 \)
\(98 = 5! - \sqrt{484 }\)
\(99 = 5! - \frac{ 84 }{ 4 }\)
\(100 = 54 \cdot \sqrt{4} - 8 \)