All 100 targets have a solution.
\(1 = \frac{ 45 }{ 5 } - 8 \)
\(2 = \sqrt{58 - 54 }\)
\(3 = \frac{ 45 \cdot 8 }{ 5 ! }\)
\(4 = 58 - 54 \)
\(5 = \frac{ 45 - 5 }{ 8 }\)
\(6 = 4 + 5 + 5 - 8 \)
\(7 = 55 - 48 \)
\(8 = ( 5 - 5 ) \cdot 4 + 8 \)
\(9 = \frac{ 54 }{ ( 8 - 5 )! }\)
\(10 = \sqrt{5 - ( 5 - 4 )} + 8 \)
\(11 = \sqrt{\frac{ 45 }{ 5 }} + 8 \)
\(12 = \frac{ 58 + \sqrt{4} }{ 5 }\)
\(13 = 58 - 45 \)
\(14 = 54 - 5 \cdot 8 \)
\(15 = \frac{ 45 }{ 8 - 5 }\)
\(16 = ( 5 + 5 - 8 )^{4 }\)
\(17 = \frac{ 45 }{ 5 } + 8 \)
\(18 = \frac{ 54 }{ 8 - 5 }\)
\(19 = \frac{ 85 }{ 5 } + \sqrt{4 }\)
\(20 = \frac{ 85 - 5 }{ 4 }\)
\(21 = \frac{ 85 }{ 5 } + 4 \)
\(22 = 4 + 5 + 5 + 8 \)
\(23 = 48 - 5 \cdot 5 \)
\(24 = ( 58 - 54 )!\)
\(25 = ( 8 - 4 ) \cdot 5 + 5 \)
\(26 = 58 - \sqrt{4}^{5 }\)
\(27 = ( \frac{ 8 }{ 4 } )^{5} - 5 \)
\(28 = 58 - \frac{ 5! }{ 4 }\)
\(29 = 84 - 55 \)
\(30 = 45 - \frac{ 5! }{ 8 }\)
\(31 = 85 - 54 \)
\(32 = 45 - 5 - 8 \)
\(33 = 58 - 5^{\sqrt{4 }}\)
\(34 = \frac{ 58 }{ \sqrt{4} } + 5 \)
\(35 = 4! \cdot 5 - 85 \)
\(36 = ( \frac{ 5 }{ 5 } + 8 ) \cdot 4 \)
\(37 = 5 \cdot 5 + 4 + 8 \)
\(38 = 48 - 5 - 5 \)
\(39 = 45 - ( 8 - 5 )!\)
\(40 = 85 - 45 \)
\(41 = 54 - 5 - 8 \)
\(42 = 45 + 5 - 8 \)
\(43 = 55 - 4 - 8 \)
\(44 = ( ( 8 - 5 )! + 5 ) \cdot 4 \)
\(45 = 55 - \sqrt{4} - 8 \)
\(46 = 58 - \sqrt{4! + 5 !}\)
\(47 = 48 - \frac{ 5 }{ 5 }\)
\(48 = 45 - 5 + 8 \)
\(49 = \frac{ 5 }{ 5 } + 48 \)
\(50 = \frac{ 8 }{ 4 } \cdot 5 \cdot 5 \)
\(51 = 54 + 5 - 8 \)
\(52 = 55 - \frac{ 4! }{ 8 }\)
\(53 = 55 - \frac{ 8 }{ 4 }\)
\(54 = 8^{\sqrt{4}} - 5 - 5 \)
\(55 = \sqrt{55^{\frac{ 8 }{ 4 }}}\)
\(56 = \sqrt{54 - 5} \cdot 8 \)
\(57 = 54 - 5 + 8 \)
\(58 = 45 + 5 + 8 \)
\(59 = 55 - 4 + 8 \)
\(60 = \frac{ 5! }{ 8 } + 45 \)
\(61 = 55 - \sqrt{4} + 8 \)
\(62 = 4! \cdot 5 - 58 \)
\(63 = \sqrt{55^{\sqrt{4}}} + 8 \)
\(64 = 5! - ( 58 - \sqrt{4 } )\)
\(65 = \sqrt{845 \cdot 5 }\)
\(66 = 5! - ( 58 - 4 )\)
\(67 = 54 + 5 + 8 \)
\(68 = \frac{ 85 \cdot 4 }{ 5 }\)
\(69 = \frac{ 5! }{ 8 } + 54 \)
\(70 = \sqrt{\sqrt{5^{8}}} + 45 \)
\(71 = 55 + 4! - 8 \)
\(72 = \frac{ 45 }{ 5 } \cdot 8 \)
\(73 = 5 \cdot 5 + 48 \)
\(74 = 84 - 5 - 5 \)
\(75 = 85 - \sqrt{4} \cdot 5 \)
\(76 = 85 - 4 - 5 \)
\(77 = 5! - ( 48 - 5 )\)
\(78 = 4 \cdot 5 + 58 \)
\(79 = ( 8 - 4 )! + 55 \)
\(80 = \sqrt{85^{\sqrt{4}}} - 5 \)
\(81 = \sqrt{\sqrt{\frac{ 45 }{ 5 }}^{8 }}\)
\(82 = 85 + \sqrt{4} - 5 \)
\(83 = 84 - \frac{ 5 }{ 5 }\)
\(84 = 84 - 5 + 5 \)
\(85 = 5 \cdot 8 + 45 \)
\(86 = 85 - 4 + 5 \)
\(87 = 4 \cdot 8 + 55 \)
\(88 = \frac{ 5! }{ 4 } + 58 \)
\(89 = \sqrt{5 \cdot 5} + 84 \)
\(90 = \sqrt{4}^{5} + 58 \)
\(91 = 5! - \frac{ 58 }{ \sqrt{4 } }\)
\(92 = 85 + \sqrt{4} + 5 \)
\(93 = 5! - ( 4 \cdot 8 - 5 )\)
\(94 = 5 \cdot 8 + 54 \)
\(95 = \sqrt{4} \cdot 5 + 85 \)
\(96 = ( \sqrt{4} + 5 + 5 ) \cdot 8 \)
\(97 = \frac{ 485 }{ 5 }\)
\(98 = 5! - \frac{ 5! }{ 4 } + 8 \)
\(99 = 5! - ( 4! + 5 ) + 8 \)
\(100 = ( 8 - 4 ) \cdot 5 \cdot 5 \)