1568

\(1 = 15 - 6 - 8 \) \(2 = 5 - \frac{ 18 }{ 6 }\) \(3 = 61 - 58 \) \(4 = \sqrt{81 - 65 }\)
\(5 = \sqrt{81 - 56 }\) \(6 = ( 61 - 58 )!\) \(7 = \frac{ 16 }{ 8 } + 5 \) \(8 = \frac{ 18 }{ 6 } + 5 \)
\(9 = \sqrt{85 - \sqrt{16 }}\) \(10 = \frac{ 16 \cdot 5 }{ 8 }\) \(11 = \sqrt{15 - 6} + 8 \) \(12 = 5 \cdot 6 - 18 \)
\(13 = 15 + 6 - 8 \) \(14 = \frac{ 85 - 1 }{ 6 }\) \(15 = \frac{ 18 \cdot 5 }{ 6 }\) \(16 = 81 - 65 \)
\(17 = 68 - 51 \) \(18 = ( 6 - 5 ) \cdot 18 \) \(19 = 16 - 5 + 8 \) \(20 = \frac{ 15 \cdot 8 }{ 6 }\)
\(21 = 61 - 5 \cdot 8 \) \(22 = ( 8 - 5 )! + 16 \) \(23 = \frac{ 18 + 5! }{ 6 }\) \(24 = 85 - 61 \)
\(25 = 81 - 56 \) \(26 = \sqrt{681 - 5 }\) \(27 = \sqrt{16} \cdot 8 - 5 \) \(28 = \sqrt{16} \cdot 5 + 8 \)
\(29 = 15 + 6 + 8 \) \(30 = ( 8 - 6 ) \cdot 15 \) \(31 = \frac{ 5! }{ 8 } + 16 \) \(32 = ( \frac{ 16 }{ 8 } )^{5 }\)
\(33 = 6 \cdot 8 - 15 \) \(34 = 58 - \sqrt{16 }!\) \(35 = 86 - 51 \) \(36 = 5 \cdot 8 - \sqrt{16 }\)
\(37 = 51 - 6 - 8 \) \(38 = 56 - 18 \) \(39 = \frac{ 6! }{ 8 } - 51 \) \(40 = ( 16 - 8 ) \cdot 5 \)
\(41 = ( 8 - 1 ) \cdot 5 + 6 \) \(42 = 58 - 16 \) \(43 = \frac{ 86 }{ \sqrt{5 - 1 } }\) \(44 = 5 \cdot 8 + \sqrt{16 }\)
\(45 = \frac{ 6! }{ 18 } + 5 \) \(46 = 61 - \frac{ 5! }{ 8 }\) \(47 = 65 - 18 \) \(48 = 168 - 5 !\)
\(49 = 51 + 6 - 8 \) \(50 = 56 - \sqrt{\sqrt{81 }}!\) \(51 = 58 - 1 - 6 \) \(52 = 58 \cdot 1 - 6 \)
\(53 = 68 - 15 \) \(54 = 58 - \sqrt{16 }\) \(55 = 56 - 1^{8 }\) \(56 = 65 - \sqrt{81 }\)
\(57 = 1^{8} + 56 \) \(58 = 1^{6} \cdot 58 \) \(59 = 1^{6} + 58 \) \(60 = ( 18 - 6 ) \cdot 5 \)
\(61 = 85 - \sqrt{16 }!\) \(62 = \sqrt{16} + 58 \) \(63 = 6 \cdot 8 + 15 \) \(64 = 56 \cdot 1 + 8 \)
\(65 = 56 + \sqrt{81 }\) \(66 = 186 - 5 !\) \(67 = 68 - 1^{5 }\) \(68 = \frac{ 51 \cdot 8 }{ 6 }\)
\(69 = 85 - 16 \) \(70 = 81 - 5 - 6 \) \(71 = 86 - 15 \) \(72 = ( 15 - 6 ) \cdot 8 \)
\(73 = 65 \cdot 1 + 8 \) \(74 = 16 + 58 \) \(75 = \frac{ 6! }{ 8 } - 15 \) \(76 = \frac{ 5! }{ 8 } + 61 \)
\(77 = ( 5 + 8 ) \cdot 6 - 1 \) \(78 = ( 18 - 5 ) \cdot 6 \) \(79 = 85 \cdot 1 - 6 \) \(80 = 81 + 5 - 6 \)
\(81 = 85 - \sqrt{16 }\) \(82 = 15 \cdot 6 - 8 \) \(83 = 15 + 68 \) \(84 = 18 \cdot 5 - 6 \)
\(85 = 1^{6} \cdot 85 \) \(86 = 1^{6} + 85 \) \(87 = 1^{5} + 86 \) \(88 = ( 16 - 5 ) \cdot 8 \)
\(89 = \sqrt{16} + 85 \) \(90 = 85 - 1 + 6 \) \(91 = 85 \cdot 1 + 6 \) \(92 = 81 + 5 + 6 \)
\(93 = \sqrt{\frac{ 6! }{ 5 }} + 81 \) \(94 = \frac{ 6! }{ 8 } - 1 + 5 \) \(95 = 815 - 6 !\) \(96 = 18 \cdot 5 + 6 \)
\(97 = \sqrt{1 + 5!} + 86 \) \(98 = 15 \cdot 6 + 8 \) \(99 = 6 \cdot 8 + 51 \) \(100 = \sqrt{\sqrt{5^{8}} \cdot 16 }\)