All 100 targets have a solution.
\(1 = \frac{ \frac{ 56 }{ 7 } }{ 8 }\)
\(2 = \sqrt{\sqrt{\sqrt{576} - 8 }}\)
\(3 = \frac{ \sqrt{576} }{ 8 }\)
\(4 = \sqrt{\sqrt{576} - 8 }\)
\(5 = 8 - \frac{ 6 }{ 7 - 5 }\)
\(6 = ( \frac{ \sqrt{576} }{ 8 } )!\)
\(7 = 75 - 68 \)
\(8 = \frac{ 78 }{ 6 } - 5 \)
\(9 = 67 - 58 \)
\(10 = \sqrt{6 \cdot 7 + 58 }\)
\(11 = 68 - 57 \)
\(12 = 5 + 6 - 7 + 8 \)
\(13 = 78 - 65 \)
\(14 = \frac{ 56 }{ 8 } + 7 \)
\(15 = \frac{ 67 + 8 }{ 5 }\)
\(16 = \sqrt{576} - 8 \)
\(17 = \sqrt{75 + 6} + 8 \)
\(18 = 76 - 58 \)
\(19 = ( 8 - 6 ) \cdot 7 + 5 \)
\(20 = \sqrt{56 \cdot 7 + 8 }\)
\(21 = \sqrt{56 \cdot 8 - 7 }\)
\(22 = 78 - 56 \)
\(23 = 5! - \frac{ 6! }{ 8 } - 7 \)
\(24 = \sqrt{\sqrt{576} - 8 }!\)
\(25 = ( 8 - 5 ) \cdot 6 + 7 \)
\(26 = 5 + 6 + 7 + 8 \)
\(27 = 67 - 5 \cdot 8 \)
\(28 = 6^{7 - 5} - 8 \)
\(29 = 86 - 57 \)
\(30 = ( 8 - 7 ) \cdot 5 \cdot 6 \)
\(31 = 87 - 56 \)
\(32 = \sqrt{576} + 8 \)
\(33 = 68 - 5 \cdot 7 \)
\(34 = \frac{ 68 }{ 7 - 5 }\)
\(35 = ( 8 - ( 7 - 6 ) ) \cdot 5 \)
\(36 = 76 - 5 \cdot 8 \)
\(37 = 5 \cdot 7 - 6 + 8 \)
\(38 = 758 - 6 !\)
\(39 = 5! - 87 + 6 \)
\(40 = ( 7 - 6 ) \cdot 5 \cdot 8 \)
\(41 = 56 - 7 - 8 \)
\(42 = \sqrt{57 - 8} \cdot 6 \)
\(43 = 57 - 6 - 8 \)
\(44 = 6^{7 - 5} + 8 \)
\(45 = 58 - 6 - 7 \)
\(46 = 6 \cdot 8 + 5 - 7 \)
\(47 = \sqrt{5^{6}} - 78 \)
\(48 = 78 - 5 \cdot 6 \)
\(49 = \frac{ 56 \cdot 7 }{ 8 }\)
\(50 = 65 - 7 - 8 \)
\(51 = 86 - 5 \cdot 7 \)
\(52 = 67 - \frac{ 5! }{ 8 }\)
\(53 = 5 \cdot 8 + 6 + 7 \)
\(54 = 67 - 5 - 8 \)
\(55 = 56 + 7 - 8 \)
\(56 = ( 8 - 7 ) \cdot 56 \)
\(57 = 56 - 7 + 8 \)
\(58 = ( 7 - 6 ) \cdot 58 \)
\(59 = 57 - 6 + 8 \)
\(60 = \sqrt{75 \cdot 6 \cdot 8 }\)
\(61 = 75 - 6 - 8 \)
\(62 = \sqrt{\sqrt{\sqrt{( 67 - 5 )^{8 }}}}\)
\(63 = 76 - 5 - 8 \)
\(64 = \frac{ 56 }{ 7 } \cdot 8 \)
\(65 = 785 - 6 !\)
\(66 = 65 - 7 + 8 \)
\(67 = 78 - 5 - 6 \)
\(68 = \sqrt{68^{7 - 5 }}\)
\(69 = ( 5 + 6 ) \cdot 7 - 8 \)
\(70 = \frac{ 8! }{ 576 }\)
\(71 = 56 + 7 + 8 \)
\(72 = \frac{ 576 }{ 8 }\)
\(73 = 75 + 6 - 8 \)
\(74 = 86 - 5 - 7 \)
\(75 = \sqrt{75^{8 - 6 }}\)
\(76 = \frac{ 57 \cdot 8 }{ 6 }\)
\(77 = 75 - 6 + 8 \)
\(78 = ( 6 - 5 ) \cdot 78 \)
\(79 = 76 - 5 + 8 \)
\(80 = 65 + 7 + 8 \)
\(81 = ( 5 + 6 ) \cdot 8 - 7 \)
\(82 = \frac{ 7! }{ 56 } - 8 \)
\(83 = 5 \cdot 7 + 6 \cdot 8 \)
\(84 = 85 + 6 - 7 \)
\(85 = ( 7 - 6 ) \cdot 85 \)
\(86 = 85 - 6 + 7 \)
\(87 = ( 6 - 5 ) \cdot 87 \)
\(88 = 86 - 5 + 7 \)
\(89 = 75 + 6 + 8 \)
\(90 = ( 5 + 7 ) \cdot 8 - 6 \)
\(91 = \frac{ 5! }{ 8 } + 76 \)
\(92 = \sqrt{\sqrt{5^{8}}} + 67 \)
\(93 = ( 6 + 8 ) \cdot 7 - 5 \)
\(94 = \frac{ 658 }{ 7 }\)
\(95 = ( 5 + 6 ) \cdot 8 + 7 \)
\(96 = ( 7 - 5 ) \cdot 6 \cdot 8 \)
\(97 = ( 5 + 8 ) \cdot 7 + 6 \)
\(98 = 85 + 6 + 7 \)
\(99 = ( 6 + 7 ) \cdot 8 - 5 \)
\(100 = 6 \cdot 7 + 58 \)