All 100 targets have a solution.
\(1 = 85 - 84 \)
\(2 = \frac{ 8 }{ 4 } \cdot 5 - 8 \)
\(3 = \frac{ 5! }{ 48 - 8 }\)
\(4 = \sqrt{\frac{ 48 }{ 8 - 5 }}\)
\(5 = 8 - ( 5 - \frac{ 8 }{ 4 } )\)
\(6 = 8^{\sqrt{4}} - 58 \)
\(7 = \frac{ 58 - \sqrt{4} }{ 8 }\)
\(8 = \frac{ 48 - 8 }{ 5 }\)
\(9 = \frac{ 5! - 48 }{ 8 }\)
\(10 = 58 - 48 \)
\(11 = \frac{ 48 }{ 8 } + 5 \)
\(12 = \sqrt{( 8 - 5 ) \cdot 48 }\)
\(13 = \sqrt{84 + 85 }\)
\(14 = \frac{ 84 }{ ( 8 - 5 )! }\)
\(15 = 8 - ( 5 - 4 ) + 8 \)
\(16 = \frac{ 48 }{ 8 - 5 }\)
\(17 = \frac{ 88 }{ 4 } - 5 \)
\(18 = \frac{ 88 + \sqrt{4} }{ 5 }\)
\(19 = 8 \cdot 8 - 45 \)
\(20 = \frac{ 5! }{ \frac{ 48 }{ 8 } }\)
\(21 = \frac{ 48 + 5! }{ 8 }\)
\(22 = \frac{ 5! }{ 8 - 4 } - 8 \)
\(23 = 48 - \sqrt{\sqrt{5^{8 }}}\)
\(24 = \sqrt{584 - 8 }\)
\(25 = \frac{ 58 - 8 }{ \sqrt{4 } }\)
\(26 = 84 - 58 \)
\(27 = \frac{ 88 }{ 4 } + 5 \)
\(28 = \frac{ 84 }{ 8 - 5 }\)
\(29 = 45 - 8 - 8 \)
\(30 = \frac{ 48 \cdot 5 }{ 8 }\)
\(31 = \frac{ 5! }{ 4 } + \frac{ 8 }{ 8 }\)
\(32 = 4! \cdot 5 - 88 \)
\(33 = 48 - \frac{ 5! }{ 8 }\)
\(34 = 88 - 54 \)
\(35 = 48 - 5 - 8 \)
\(36 = 5! - ( 88 - 4 )\)
\(37 = 85 - 48 \)
\(38 = 54 - 8 - 8 \)
\(39 = \frac{ 88 }{ \sqrt{4} } - 5 \)
\(40 = ( \frac{ 8 }{ 4 } )^{5} + 8 \)
\(41 = 45 - \sqrt{8 + 8 }\)
\(42 = 48 - ( 8 - 5 )!\)
\(43 = 88 - 45 \)
\(44 = 45 - \frac{ 8 }{ 8 }\)
\(45 = 45 - 8 + 8 \)
\(46 = \frac{ 8 }{ 8 } + 45 \)
\(47 = \sqrt{\sqrt{8 + 8}} + 45 \)
\(48 = 58 - \sqrt{4} - 8 \)
\(49 = \sqrt{8 + 8} + 45 \)
\(50 = 54 - \sqrt{8 + 8 }\)
\(51 = 48 - 5 + 8 \)
\(52 = 58 + \sqrt{4} - 8 \)
\(53 = 54 - \frac{ 8 }{ 8 }\)
\(54 = 54 - 8 + 8 \)
\(55 = \frac{ 8 }{ 8 } + 54 \)
\(56 = 58 - \frac{ 8 }{ 4 }\)
\(57 = 8 \cdot 8 - \sqrt{4} - 5 \)
\(58 = \sqrt{8 + 8} + 54 \)
\(59 = 88 - 4! - 5 \)
\(60 = \frac{ 8 }{ 4 } + 58 \)
\(61 = 45 + 8 + 8 \)
\(62 = 58 - 4 + 8 \)
\(63 = \frac{ 5! }{ 8 } + 48 \)
\(64 = 5! - 48 - 8 \)
\(65 = 8 \cdot 8 - 4 + 5 \)
\(66 = \sqrt{58^{\sqrt{4}}} + 8 \)
\(67 = 8^{\sqrt{4}} - 5 + 8 \)
\(68 = 88 - 4 \cdot 5 \)
\(69 = 84 - \frac{ 5! }{ 8 }\)
\(70 = 54 + 8 + 8 \)
\(71 = 84 - 5 - 8 \)
\(72 = \sqrt{85 - 4} \cdot 8 \)
\(73 = \frac{ 584 }{ 8 }\)
\(74 = 58 + 4! - 8 \)
\(75 = 85 - \sqrt{4} - 8 \)
\(76 = ( 8 + 8 ) \cdot 5 - 4 \)
\(77 = \sqrt{85^{\sqrt{4}}} - 8 \)
\(78 = 84 - ( 8 - 5 )!\)
\(79 = 88 - 4 - 5 \)
\(80 = 5! - 48 + 8 \)
\(81 = 84 + 5 - 8 \)
\(82 = ( 8 - 4 )! + 58 \)
\(83 = 85 - \frac{ 8 }{ 4 }\)
\(84 = ( 5 + 8 + 8 ) \cdot 4 \)
\(85 = \sqrt{85^{\frac{ 8 }{ 4 }}}\)
\(86 = \sqrt{( \frac{ 4! }{ 8 } )^{8}} + 5 \)
\(87 = 84 - 5 + 8 \)
\(88 = 5 \cdot 8 + 48 \)
\(89 = 85 - 4 + 8 \)
\(90 = 4 \cdot 8 + 58 \)
\(91 = 85 - \sqrt{4} + 8 \)
\(92 = ( \frac{ 5! }{ 8 } + 8 ) \cdot 4 \)
\(93 = \sqrt{85^{\sqrt{4}}} + 8 \)
\(94 = ( 5 - \sqrt{4} )! + 88 \)
\(95 = 85 + \sqrt{4} + 8 \)
\(96 = \frac{ 8! }{ 84 \cdot 5 }\)
\(97 = 84 + 5 + 8 \)
\(98 = 5! - \frac{ 88 }{ 4 }\)
\(99 = \frac{ 5! }{ 8 } + 84 \)
\(100 = ( 58 - 8 ) \cdot \sqrt{4 }\)