All 100 targets have a solution.
\(1 = ( 8 - 7 )^{25 }\)
\(2 = \sqrt{\frac{ 25 + 7 }{ 8 }}\)
\(3 = \frac{ 7 + 8 }{ \sqrt{25 } }\)
\(4 = \frac{ 25 + 7 }{ 8 }\)
\(5 = \sqrt{82 - 57 }\)
\(6 = 8 - ( 7 - \sqrt{25 } )\)
\(7 = 82 - 75 \)
\(8 = \frac{ 58 - 2 }{ 7 }\)
\(9 = \frac{ 27 }{ 8 - 5 }\)
\(10 = 25 - 7 - 8 \)
\(11 = 75 - 8^{2 }\)
\(12 = \sqrt{( 25 - 7 ) \cdot 8 }\)
\(13 = 85 - 72 \)
\(14 = 72 - 58 \)
\(15 = \frac{ 82 - 7 }{ 5 }\)
\(16 = 28 - 5 - 7 \)
\(17 = \sqrt{\frac{ 578 }{ 2 }}\)
\(18 = 78 - \frac{ 5! }{ 2 }\)
\(19 = ( \frac{ 28 }{ 7 } )! - 5 \)
\(20 = \frac{ 28 \cdot 5 }{ 7 }\)
\(21 = ( 8 - \sqrt{25} ) \cdot 7 \)
\(22 = \frac{ 58 }{ 2 } - 7 \)
\(23 = ( 8 - 2 ) \cdot 5 - 7 \)
\(24 = \sqrt{578 - 2 }\)
\(25 = 82 - 57 \)
\(26 = 78 - 52 \)
\(27 = \sqrt{25} \cdot 7 - 8 \)
\(28 = \sqrt{28^{7 - 5 }}\)
\(29 = 57 - 28 \)
\(30 = 27 - 5 + 8 \)
\(31 = 58 - 27 \)
\(32 = 72 - 5 \cdot 8 \)
\(33 = \sqrt{25}! - 87 \)
\(34 = \sqrt{578 \cdot 2 }\)
\(35 = 87 - 52 \)
\(36 = \frac{ 58 }{ 2 } + 7 \)
\(37 = 52 - 7 - 8 \)
\(38 = \sqrt{2 + 7}! \cdot 5 + 8 \)
\(39 = \frac{ 85 - 7 }{ 2 }\)
\(40 = 25 + 7 + 8 \)
\(41 = 57 - 2 \cdot 8 \)
\(42 = \sqrt{25}! - 78 \)
\(43 = 2^{7} - 85 \)
\(44 = 58 - 2 \cdot 7 \)
\(45 = \frac{ 72 \cdot 5 }{ 8 }\)
\(46 = 78 - 2^{5 }\)
\(47 = 75 - 28 \)
\(48 = \frac{ 5 + 7 }{ 2 } \cdot 8 \)
\(49 = 58 - 2 - 7 \)
\(50 = ( 5 - 2 )! \cdot 7 + 8 \)
\(51 = 52 + 7 - 8 \)
\(52 = ( 8 - 7 ) \cdot 52 \)
\(53 = 78 - 25 \)
\(54 = 87 \cdot 2 - 5 !\)
\(55 = 87 - 2^{5 }\)
\(56 = ( 7 - 5 ) \cdot 28 \)
\(57 = 72 - \frac{ 5! }{ 8 }\)
\(58 = 85 - 27 \)
\(59 = 72 - 5 - 8 \)
\(60 = \frac{ 5! }{ \sqrt{\frac{ 28 }{ 7 }} }\)
\(61 = \frac{ 8 }{ 2 } + 57 \)
\(62 = 87 - 25 \)
\(63 = 5 \cdot 7 + 28 \)
\(64 = 8^{7 - \sqrt{25 }}\)
\(65 = 75 - 2 - 8 \)
\(66 = 72 - ( 8 - 5 )!\)
\(67 = 5 \cdot 8 + 27 \)
\(68 = 78 - 2 \cdot 5 \)
\(69 = 72 + 5 - 8 \)
\(70 = 2^{7} - 58 \)
\(71 = 75 - \frac{ 8 }{ 2 }\)
\(72 = 2 \cdot 7 + 58 \)
\(73 = 78 - \sqrt{25 }\)
\(74 = \sqrt{\sqrt{7^{8}}} + 25 \)
\(75 = 72 - 5 + 8 \)
\(76 = 85 - 2 - 7 \)
\(77 = 87 - 2 \cdot 5 \)
\(78 = ( 8 - 5 )! + 72 \)
\(79 = \frac{ 8 }{ 2 } + 75 \)
\(80 = 82 + 5 - 7 \)
\(81 = 7 \cdot 8 + 25 \)
\(82 = 87 - \sqrt{25 }\)
\(83 = \sqrt{25} + 78 \)
\(84 = 82 - 5 + 7 \)
\(85 = 27 + 58 \)
\(86 = ( 5 \cdot 7 + 8 ) \cdot 2 \)
\(87 = \frac{ 5! }{ 8 } + 72 \)
\(88 = 2 \cdot 5 + 78 \)
\(89 = ( 5 + 8 ) \cdot 7 - 2 \)
\(90 = 85 - 2 + 7 \)
\(91 = 2 \cdot 8 + 75 \)
\(92 = \sqrt{25} + 87 \)
\(93 = ( 5 - 2 )! + 87 \)
\(94 = \frac{ 752 }{ 8 }\)
\(95 = ( 27 - 8 ) \cdot 5 \)
\(96 = ( \sqrt{25} + 7 ) \cdot 8 \)
\(97 = 2 \cdot 5 + 87 \)
\(98 = ( 57 - 8 ) \cdot 2 \)
\(99 = 2 \cdot 7 + 85 \)
\(100 = ( 7 - 5 + 8 )^{2 }\)