98 of 100 targets have a solution.
\(1 = 16 - 7 - 8 \)
\(2 = 6! - 718 \)
\(3 = 71 - 68 \)
\(4 = \frac{ 68 }{ 17 }\)
\(5 = 81 - 76 \)
\(6 = ( 71 - 68 )!\)
\(7 = \sqrt{67 - 18 }\)
\(8 = \sqrt{81} + 6 - 7 \)
\(9 = \frac{ 16 }{ 8 } + 7 \)
\(10 = \frac{ 18 }{ 6 } + 7 \)
\(11 = 7 - \sqrt{16} + 8 \)
\(12 = \frac{ 78 }{ 6 } - 1 \)
\(13 = \frac{ 78 \cdot 1 }{ 6 }\)
\(14 = 81 - 67 \)
\(15 = 86 - 71 \)
\(16 = ( 8 - 7 ) \cdot 16 \)
\(17 = 78 - 61 \)
\(18 = ( 7 - 6 ) \cdot 18 \)
\(19 = 17 - 6 + 8 \)
\(20 = \sqrt{16} \cdot 7 - 8 \)
\(21 = \frac{ 18 }{ 6 } \cdot 7 \)
\(22 = \frac{ 176 }{ 8 }\)
\(23 = 71 - 6 \cdot 8 \)
\(24 = \frac{ 168 }{ 7 }\)
\(25 = \sqrt{617 + 8 }\)
\(26 = 87 - 61 \)
\(27 = ( 6 - 1 ) \cdot 7 - 8 \)
\(28 = ( 8 - \sqrt{16} ) \cdot 7 \)
\(29 = \sqrt{\sqrt{81}}! \cdot 6 - 7 \)
\(30 = \frac{ 7! }{ 168 }\)
\(31 = 16 + 7 + 8 \)
\(32 = 7 \cdot 8 - \sqrt{16 }!\)
\(33 = \frac{ 6! }{ 18 } - 7 \)
\(34 = \sqrt{17 \cdot 68 }\)
\(35 = 6 \cdot 7 + 1 - 8 \)
\(36 = \sqrt{16} \cdot 7 + 8 \)
\(37 = \sqrt{\frac{ 7! }{ 6 } + 1} + 8 \)
\(38 = ?\)
\(39 = 81 - 6 \cdot 7 \)
\(40 = 7 \cdot 8 - 16 \)
\(41 = ( 1 + 6 ) \cdot 7 - 8 \)
\(42 = ( \frac{ 18 }{ 6 } )! \cdot 7 \)
\(43 = ( 6 - 1 ) \cdot 7 + 8 \)
\(44 = ( 7 - 1 ) \cdot 6 + 8 \)
\(45 = \frac{ 6! }{ \sqrt{81} + 7 }\)
\(46 = 61 - 7 - 8 \)
\(47 = \frac{ 6! }{ 18 } + 7 \)
\(48 = ( 7 - 1^{6} ) \cdot 8 \)
\(49 = 67 - 18 \)
\(50 = 1 \cdot 6 \cdot 7 + 8 \)
\(51 = 68 - 17 \)
\(52 = 7 \cdot 8 - \sqrt{16 }\)
\(53 = \sqrt{\sqrt{6^{8}}} + 17 \)
\(54 = ( 17 - 8 ) \cdot 6 \)
\(55 = 1 \cdot 6 \cdot 8 + 7 \)
\(56 = ( 16 - 8 ) \cdot 7 \)
\(57 = 71 - 6 - 8 \)
\(58 = 76 - 18 \)
\(59 = 67 \cdot 1 - 8 \)
\(60 = 6 \cdot 7 + 18 \)
\(61 = 781 - 6 !\)
\(62 = 78 - 16 \)
\(63 = 87 - \sqrt{16 }!\)
\(64 = 67 - \sqrt{\sqrt{81 }}\)
\(65 = 6 \cdot 8 + 17 \)
\(66 = ( 18 - 7 ) \cdot 6 \)
\(67 = 76 - \sqrt{81 }\)
\(68 = 1^{8} + 67 \)
\(69 = 86 - 17 \)
\(70 = 67 + \sqrt{\sqrt{81 }}\)
\(71 = 87 - 16 \)
\(72 = ( 16 - 7 ) \cdot 8 \)
\(73 = 71 - 6 + 8 \)
\(74 = 78 - \sqrt{16 }\)
\(75 = 67 \cdot 1 + 8 \)
\(76 = 67 + \sqrt{81 }\)
\(77 = 1^{8} + 76 \)
\(78 = 1^{6} \cdot 78 \)
\(79 = 1^{6} + 78 \)
\(80 = 81 + 6 - 7 \)
\(81 = ( 7 - 6 ) \cdot 81 \)
\(82 = \sqrt{16} + 78 \)
\(83 = 87 - \sqrt{16 }\)
\(84 = ( 18 - 6 ) \cdot 7 \)
\(85 = 17 + 68 \)
\(86 = 1^{7} \cdot 86 \)
\(87 = 1^{7} + 86 \)
\(88 = ( 17 - 6 ) \cdot 8 \)
\(89 = \sqrt{\sqrt{16}} + 87 \)
\(90 = ( 1 \cdot 7 + 8 ) \cdot 6 \)
\(91 = \sqrt{16} + 87 \)
\(92 = 86 - 1 + 7 \)
\(93 = 86 \cdot 1 + 7 \)
\(94 = 16 + 78 \)
\(95 = \frac{ 1 + 6! }{ 7 } - 8 \)
\(96 = ( \sqrt{81} + 7 ) \cdot 6 \)
\(97 = 817 - 6 !\)
\(98 = ( 1 \cdot 6 + 8 ) \cdot 7 \)
\(99 = ( 6 + 8 ) \cdot 7 + 1 \)
\(100 = ?\)