All 100 targets have a solution.
\(1 = ( 568 \cdot 0 )!\)
\(2 = 60 - 58 \)
\(3 = \sqrt{56^{0} + 8 }\)
\(4 = \frac{ 60 }{ 5 } - 8 \)
\(5 = \sqrt{85 - 60 }\)
\(6 = \sqrt{86 - 50 }\)
\(7 = \frac{ 50 + 6 }{ 8 }\)
\(8 = 56 \cdot 0 + 8 \)
\(9 = 56^{0} + 8 \)
\(10 = \frac{ 80 }{ 5 } - 6 \)
\(11 = 0 \cdot 8 + 5 + 6 \)
\(12 = 5 - 6^{0} + 8 \)
\(13 = 6 - 5^{0} + 8 \)
\(14 = \sqrt{50 \cdot 8} - 6 \)
\(15 = 80 - 65 \)
\(16 = \frac{ 5! }{ 60 } \cdot 8 \)
\(17 = \frac{ 68 }{ 5 - 0 ! }\)
\(18 = 68 - 50 \)
\(19 = 0 + 5 + 6 + 8 \)
\(20 = \frac{ 60 }{ 5 } + 8 \)
\(21 = 5 \cdot 6 - 0! - 8 \)
\(22 = \frac{ 80 }{ 5 } + 6 \)
\(23 = 5 \cdot 6 + 0! - 8 \)
\(24 = 80 - 56 \)
\(25 = 85 - 60 \)
\(26 = \sqrt{50 \cdot 8} + 6 \)
\(27 = ( 0! + 6 ) \cdot 5 - 8 \)
\(28 = \frac{ ( 0 + 5 )! }{ 6 } + 8 \)
\(29 = 5 \cdot 6 - 8^{0 }\)
\(30 = ( 0 \cdot 8 + 5 ) \cdot 6 \)
\(31 = 8^{0} + 5 \cdot 6 \)
\(32 = ( 5 - 6^{0} ) \cdot 8 \)
\(33 = 5! - ( 86 + 0 ! )\)
\(34 = 5! - 80 - 6 \)
\(35 = ( 8 - 6^{0} ) \cdot 5 \)
\(36 = 86 - 50 \)
\(37 = 5 \cdot 6 - 0! + 8 \)
\(38 = ( 0 + 5 ) \cdot 6 + 8 \)
\(39 = 5 \cdot 8 - 6^{0 }\)
\(40 = \frac{ 6! }{ 8 } - 50 \)
\(41 = 6^{0} + 5 \cdot 8 \)
\(42 = ( 8 - 5^{0} ) \cdot 6 \)
\(43 = ( 0 + 6 ) \cdot 8 - 5 \)
\(44 = 68 - ( 5 - 0 ! )!\)
\(45 = 60 - \frac{ 5! }{ 8 }\)
\(46 = 5! - 80 + 6 \)
\(47 = 60 - 5 - 8 \)
\(48 = 50 + 6 - 8 \)
\(49 = 56 + 0! - 8 \)
\(50 = 80 - 5 \cdot 6 \)
\(51 = 58 - 0! - 6 \)
\(52 = 50 - 6 + 8 \)
\(53 = 58 + 0! - 6 \)
\(54 = 60 - ( 8 - 5 )!\)
\(55 = 56 - 8^{0 }\)
\(56 = 0 \cdot 8 + 56 \)
\(57 = 8^{0} + 56 \)
\(58 = 0 \cdot 6 + 58 \)
\(59 = 6^{0} + 58 \)
\(60 = 80 - \frac{ 5! }{ 6 }\)
\(61 = ( 0! + 6 ) \cdot 8 + 5 \)
\(62 = 68 - 0! - 5 \)
\(63 = 60 - 5 + 8 \)
\(64 = 50 + 6 + 8 \)
\(65 = 0 \cdot 8 + 65 \)
\(66 = 8^{0} + 65 \)
\(67 = 68 - 5^{0 }\)
\(68 = 0 \cdot 5 + 68 \)
\(69 = 5^{0} + 68 \)
\(70 = \frac{ 560 }{ 8 }\)
\(71 = ( 6 + 8 ) \cdot 5 + 0 !\)
\(72 = \frac{ 8! }{ 560 }\)
\(73 = 60 + 5 + 8 \)
\(74 = 65 + 0! + 8 \)
\(75 = \frac{ 5! }{ 8 } + 60 \)
\(76 = \frac{ 6! - 5! }{ 8 } + 0 !\)
\(77 = ( 5 + 8 ) \cdot 6 - 0 !\)
\(78 = 85 - 0! - 6 \)
\(79 = 80 + 5 - 6 \)
\(80 = ( 6 - 5 ) \cdot 80 \)
\(81 = 80 - 5 + 6 \)
\(82 = 86 + 0! - 5 \)
\(83 = 5! - ( \sqrt{\sqrt{6^{8}}} + 0 ! )\)
\(84 = 85 - 6^{0 }\)
\(85 = 805 - 6 !\)
\(86 = 6^{0} + 85 \)
\(87 = 5^{0} + 86 \)
\(88 = ( 0 + 5 + 6 ) \cdot 8 \)
\(89 = ( 5 + 6 ) \cdot 8 + 0 !\)
\(90 = 85 - 0! + 6 \)
\(91 = 80 + 5 + 6 \)
\(92 = 85 + 0! + 6 \)
\(93 = \frac{ ( 5 - 0! )! + 6! }{ 8 }\)
\(94 = \frac{ 6! }{ 8 } - 0! + 5 \)
\(95 = \frac{ ( 0 + 6 )! }{ 8 } + 5 \)
\(96 = \frac{ 60 }{ 5 } \cdot 8 \)
\(97 = \sqrt{0! + 5!} + 86 \)
\(98 = 6 \cdot 8 + 50 \)
\(99 = ( 0! + 8 ) \cdot ( 5 + 6 )\)
\(100 = ( 8 - 6 ) \cdot 50 \)