All 100 targets have a solution.
\(1 = \frac{ 63 }{ 7 } - 8 \)
\(2 = \frac{ 76 }{ 38 }\)
\(3 = \sqrt{73 + 8} - 6 \)
\(4 = \sqrt{83 - 67 }\)
\(5 = 73 - 68 \)
\(6 = ( 8 - 7 ) \cdot \sqrt{36 }\)
\(7 = 83 - 76 \)
\(8 = \frac{ 67 - 3 }{ 8 }\)
\(9 = \sqrt{87 - \sqrt{36 }}\)
\(10 = \frac{ 78 }{ 6 } - 3 \)
\(11 = 6 \cdot 8 - 37 \)
\(12 = \frac{ 78 - 3! }{ 6 }\)
\(13 = 86 - 73 \)
\(14 = \frac{ 87 - 3 }{ 6 }\)
\(15 = 78 - 63 \)
\(16 = 83 - 67 \)
\(17 = \sqrt{\frac{ 867 }{ 3 }}\)
\(18 = 738 - 6 !\)
\(19 = \sqrt{368 - 7 }\)
\(20 = 7 \cdot 8 - 36 \)
\(21 = 36 - 7 - 8 \)
\(22 = \frac{ 6 }{ 3 } \cdot 7 + 8 \)
\(23 = 37 - 6 - 8 \)
\(24 = 87 - 63 \)
\(25 = 38 - 6 - 7 \)
\(26 = \sqrt{683 - 7 }\)
\(27 = \frac{ 87 - 6 }{ 3 }\)
\(28 = \frac{ 76 + 8 }{ 3 }\)
\(29 = 67 - 38 \)
\(30 = \frac{ 7 + 8 }{ 3 } \cdot 6 \)
\(31 = 68 - 37 \)
\(32 = \frac{ 78 }{ 3 } + 6 \)
\(33 = 3!! - 687 \)
\(34 = \sqrt{36} \cdot 7 - 8 \)
\(35 = 36 + 7 - 8 \)
\(36 = ( 8 - 7 ) \cdot 36 \)
\(37 = 36 - 7 + 8 \)
\(38 = 76 - 38 \)
\(39 = 37 - 6 + 8 \)
\(40 = ( 7 - \frac{ 6 }{ 3 } ) \cdot 8 \)
\(41 = 83 - 6 \cdot 7 \)
\(42 = 78 - 36 \)
\(43 = 67 - 3 \cdot 8 \)
\(44 = 68 - ( 7 - 3 )!\)
\(45 = ( 6 - 3 ) \cdot ( 7 + 8 )\)
\(46 = 7^{8 - 6} - 3 \)
\(47 = \frac{ 376 }{ 8 }\)
\(48 = \sqrt{768 \cdot 3 }\)
\(49 = 86 - 37 \)
\(50 = \sqrt{36} \cdot 7 + 8 \)
\(51 = 87 - 36 \)
\(52 = 76 - 3 \cdot 8 \)
\(53 = \frac{ 6! }{ 8 } - 37 \)
\(54 = \sqrt{73 + 8} \cdot 6 \)
\(55 = \sqrt{36} \cdot 8 + 7 \)
\(56 = 67 - 3 - 8 \)
\(57 = \frac{ 76 \cdot 3! }{ 8 }\)
\(58 = 68 - 3 - 7 \)
\(59 = 73 - 6 - 8 \)
\(60 = 78 - 3 \cdot 6 \)
\(61 = 3! \cdot 8 + 6 + 7 \)
\(62 = 63 + 7 - 8 \)
\(63 = \frac{ 378 }{ 6 }\)
\(64 = 63 - 7 + 8 \)
\(65 = 76 - 3 - 8 \)
\(66 = 786 - 3 !!\)
\(67 = 68 + 3! - 7 \)
\(68 = ( 7 - 3! ) \cdot 68 \)
\(69 = 78 - 3 - 6 \)
\(70 = 83 - 6 - 7 \)
\(71 = 73 + 6 - 8 \)
\(72 = 78 - \sqrt{36 }\)
\(73 = \sqrt{73^{8 - 6 }}\)
\(74 = ( 8 - 6 ) \cdot 37 \)
\(75 = 73 - 6 + 8 \)
\(76 = 78 - \frac{ 6 }{ 3 }\)
\(77 = 78 - \frac{ 3! }{ 6 }\)
\(78 = 63 + 7 + 8 \)
\(79 = \frac{ 3! }{ 6 } + 78 \)
\(80 = 6 \cdot 7 + 38 \)
\(81 = 87 - \sqrt{36 }\)
\(82 = 83 + 6 - 7 \)
\(83 = ( 7 - 6 ) \cdot 83 \)
\(84 = \sqrt{36} + 78 \)
\(85 = 6 \cdot 8 + 37 \)
\(86 = ( 7 - 3! ) \cdot 86 \)
\(87 = 73 + 6 + 8 \)
\(88 = \frac{ 7! }{ 63 } + 8 \)
\(89 = 3 \cdot 7 + 68 \)
\(90 = 86 - 3 + 7 \)
\(91 = 3 \cdot 8 + 67 \)
\(92 = \frac{ 736 }{ 8 }\)
\(93 = \sqrt{36} + 87 \)
\(94 = \sqrt{3^{8}} + 6 + 7 \)
\(95 = ( 6 + 8 ) \cdot 7 - 3 \)
\(96 = 3 \cdot 6 + 78 \)
\(97 = \frac{ \sqrt{36}! }{ 8 } + 7 \)
\(98 = ( \sqrt{36} + 8 ) \cdot 7 \)
\(99 = 86 + 3! + 7 \)
\(100 = 3 \cdot 8 + 76 \)