All 100 targets have a solution.
\(1 = 28^{5 - 5 }\)
\(2 = \sqrt{25} + 5 - 8 \)
\(3 = 8 - \frac{ 25 }{ 5 }\)
\(4 = \frac{ 52 }{ 5 + 8 }\)
\(5 = 8 - ( \frac{ 5 }{ 5 } + 2 )\)
\(6 = 58 - 52 \)
\(7 = 8 - \frac{ \sqrt{25} }{ 5 }\)
\(8 = \sqrt{25} - 5 + 8 \)
\(9 = 8^{2} - 55 \)
\(10 = 25 - \frac{ 5! }{ 8 }\)
\(11 = \sqrt{58 \cdot 2 + 5 }\)
\(12 = 25 - 5 - 8 \)
\(13 = \frac{ 25 }{ 5 } + 8 \)
\(14 = \frac{ 8 }{ 2 } + 5 + 5 \)
\(15 = 5 \cdot 8 - 25 \)
\(16 = ( 5 - ( 5 - 2 ) ) \cdot 8 \)
\(17 = \frac{ 85 }{ \sqrt{25 } }\)
\(18 = 28 - 5 - 5 \)
\(19 = \frac{ 85 }{ 5 } + 2 \)
\(20 = 28 \cdot 5 - 5 !\)
\(21 = ( 5 + 8 ) \cdot 2 - 5 \)
\(22 = 25 + 5 - 8 \)
\(23 = 28 - \sqrt{5 \cdot 5 }\)
\(24 = \frac{ 58 }{ 2 } - 5 \)
\(25 = \frac{ \sqrt{5^{8}} }{ 25 }\)
\(26 = 58 - 2^{5 }\)
\(27 = 55 - 28 \)
\(28 = 25 - 5 + 8 \)
\(29 = \frac{ 5 }{ 5 } + 28 \)
\(30 = ( 8 - 5 ) \cdot 2 \cdot 5 \)
\(31 = ( 8 - 5 )! + 25 \)
\(32 = ( 2 \cdot 5 - 8 )^{5 }\)
\(33 = 58 - 25 \)
\(34 = \frac{ 58 }{ 2 } + 5 \)
\(35 = \sqrt{25}! - 85 \)
\(36 = ( 5 + 5 + 8 ) \cdot 2 \)
\(37 = 52 - \frac{ 5! }{ 8 }\)
\(38 = 25 + 5 + 8 \)
\(39 = 52 - 5 - 8 \)
\(40 = \frac{ 25 }{ 5 } \cdot 8 \)
\(41 = 2 \cdot 8 + 5 \cdot 5 \)
\(42 = 2 \cdot 5 \cdot 5 - 8 \)
\(43 = 5! - 82 + 5 \)
\(44 = \sqrt{\sqrt{( 2 + 5 )^{8}}} - 5 \)
\(45 = 55 - 2 - 8 \)
\(46 = 52 - ( 8 - 5 )!\)
\(47 = \sqrt{55^{2}} - 8 \)
\(48 = 58 - 2 \cdot 5 \)
\(49 = 52 + 5 - 8 \)
\(50 = 85 \cdot 2 - 5 !\)
\(51 = 55 - \frac{ 8 }{ 2 }\)
\(52 = \frac{ 5! }{ 5 } + 28 \)
\(53 = 58 - \sqrt{25 }\)
\(54 = 8^{2} - 5 - 5 \)
\(55 = 52 - 5 + 8 \)
\(56 = ( \sqrt{5 \cdot 5} + 2 ) \cdot 8 \)
\(57 = \frac{ 285 }{ 5 }\)
\(58 = ( 8 - 5 )! + 52 \)
\(59 = \frac{ 8 }{ 2 } + 55 \)
\(60 = 85 - 25 \)
\(61 = 55 - 2 + 8 \)
\(62 = \sqrt{25}! - 58 \)
\(63 = \sqrt{25} + 58 \)
\(64 = 5! - ( 58 - 2 )\)
\(65 = 5 \cdot 8 + 25 \)
\(66 = ( 5 \cdot 5 + 8 ) \cdot 2 \)
\(67 = \frac{ 5! }{ 8 } + 52 \)
\(68 = 2 \cdot 5 + 58 \)
\(69 = \frac{ 552 }{ 8 }\)
\(70 = ( 5! - 85 ) \cdot 2 \)
\(71 = 2 \cdot 8 + 55 \)
\(72 = 82 - 5 - 5 \)
\(73 = \frac{ 5! }{ 2 } + 5 + 8 \)
\(74 = 8^{2} + 5 + 5 \)
\(75 = ( 8 - 5 ) \cdot 25 \)
\(76 = 5! - 52 + 8 \)
\(77 = 82 - \sqrt{5 \cdot 5 }\)
\(78 = 85 - 2 - 5 \)
\(79 = ( \frac{ 8 }{ 2 } )! + 55 \)
\(80 = 85 - \sqrt{25 }\)
\(81 = 82 - \frac{ 5 }{ 5 }\)
\(82 = 82 - 5 + 5 \)
\(83 = 25 + 58 \)
\(84 = 5! - ( 8 - 5 )!^{2 }\)
\(85 = ( 25 - 8 ) \cdot 5 \)
\(86 = \sqrt{( 5 - 2 )^{8}} + 5 \)
\(87 = 5! - 25 - 8 \)
\(88 = 85 - 2 + 5 \)
\(89 = \frac{ 58 + 5! }{ 2 }\)
\(90 = \sqrt{25} + 85 \)
\(91 = 5! - \frac{ 58 }{ 2 }\)
\(92 = 5 \cdot 8 + 52 \)
\(93 = 5! - ( \sqrt{\sqrt{5^{8}}} + 2 )\)
\(94 = ( 55 - 8 ) \cdot 2 \)
\(95 = 2 \cdot 5 + 85 \)
\(96 = ( 2 + 5 + 5 ) \cdot 8 \)
\(97 = 5! - ( 28 - 5 )\)
\(98 = \sqrt{\sqrt{( 5 + 5 )^{8}}} - 2 \)
\(99 = 5! - ( 2 \cdot 8 + 5 )\)
\(100 = \frac{ 8 }{ 2 } \cdot 5 \cdot 5 \)