All 100 targets have a solution.
\(1 = 6 \cdot 8 - 47 \)
\(2 = \frac{ \frac{ 84 }{ 6 } }{ 7 }\)
\(3 = 67 - 8^{\sqrt{4 }}\)
\(4 = \frac{ 68 }{ 4! - 7 }\)
\(5 = \sqrt{87 - 6} - 4 \)
\(6 = 74 - 68 \)
\(7 = \frac{ 84 }{ 6 } - 7 \)
\(8 = 84 - 76 \)
\(9 = \frac{ 76 - 4 }{ 8 }\)
\(10 = 7 \cdot 8 - 46 \)
\(11 = \frac{ 74 - 8 }{ 6 }\)
\(12 = 86 - 74 \)
\(13 = \sqrt{87 - 6} + 4 \)
\(14 = 78 - 64 \)
\(15 = \frac{ 48 }{ 6 } + 7 \)
\(16 = \frac{ 6! }{ 8 } - 74 \)
\(17 = 84 - 67 \)
\(18 = \frac{ 78 - 6 }{ 4 }\)
\(19 = 67 - 48 \)
\(20 = \frac{ 8 }{ 4 } \cdot 7 + 6 \)
\(21 = 68 - 47 \)
\(22 = \sqrt{476 + 8 }\)
\(23 = 87 - 64 \)
\(24 = \frac{ 68 }{ 4 } + 7 \)
\(25 = 4 + 6 + 7 + 8 \)
\(26 = \sqrt{678 - \sqrt{4 }}\)
\(27 = \frac{ 76 }{ 4 } + 8 \)
\(28 = 76 - 48 \)
\(29 = \sqrt{847 - 6 }\)
\(30 = \sqrt{876 + 4 !}\)
\(31 = 46 - 7 - 8 \)
\(32 = 78 - 46 \)
\(33 = 47 - 6 - 8 \)
\(34 = \sqrt{784} + 6 \)
\(35 = 48 - 6 - 7 \)
\(36 = \frac{ 78 - 6 }{ \sqrt{4 } }\)
\(37 = \frac{ 74 }{ 8 - 6 }\)
\(38 = \frac{ 76 \cdot 4 }{ 8 }\)
\(39 = 86 - 47 \)
\(40 = 68 - 4 \cdot 7 \)
\(41 = 87 - 46 \)
\(42 = 84 - 6 \cdot 7 \)
\(43 = \frac{ 6! }{ 8 } - 47 \)
\(44 = 76 - 4 \cdot 8 \)
\(45 = 46 + 7 - 8 \)
\(46 = ( 8 - 7 ) \cdot 46 \)
\(47 = 46 - 7 + 8 \)
\(48 = ( 7 - 6 ) \cdot 48 \)
\(49 = 47 - 6 + 8 \)
\(50 = \frac{ 86 }{ \sqrt{4} } + 7 \)
\(51 = 67 - 4! + 8 \)
\(52 = \frac{ 78 \cdot 4 }{ 6 }\)
\(53 = 7^{8 - 6} + 4 \)
\(54 = 78 - 4 \cdot 6 \)
\(55 = 67 - 4 - 8 \)
\(56 = \frac{ 48 }{ 6 } \cdot 7 \)
\(57 = 68 - 4 - 7 \)
\(58 = 86 - 4 \cdot 7 \)
\(59 = 68 - \sqrt{4} - 7 \)
\(60 = 74 - 6 - 8 \)
\(61 = 46 + 7 + 8 \)
\(62 = 68 - ( 7 - 4 )!\)
\(63 = 64 + 7 - 8 \)
\(64 = 784 - 6 !\)
\(65 = 64 - 7 + 8 \)
\(66 = \sqrt{7! - 684 }\)
\(67 = \sqrt{67^{\frac{ 8 }{ 4 }}}\)
\(68 = 78 - 4 - 6 \)
\(69 = \frac{ 8 }{ 4 } + 67 \)
\(70 = 78 - \sqrt{64 }\)
\(71 = 67 - 4 + 8 \)
\(72 = 74 + 6 - 8 \)
\(73 = 67 - \sqrt{4} + 8 \)
\(74 = 76 - \frac{ 8 }{ 4 }\)
\(75 = 86 - 4 - 7 \)
\(76 = 74 - 6 + 8 \)
\(77 = 87 - 4 - 6 \)
\(78 = \frac{ 8 }{ 4 } + 76 \)
\(79 = 87 - \sqrt{64 }\)
\(80 = 76 - 4 + 8 \)
\(81 = \frac{ 6 }{ \sqrt{4} } + 78 \)
\(82 = \sqrt{4} \cdot 7 + 68 \)
\(83 = 84 + 6 - 7 \)
\(84 = ( 7 - 6 ) \cdot 84 \)
\(85 = 84 - 6 + 7 \)
\(86 = \sqrt{64} + 78 \)
\(87 = \sqrt{87^{6 - 4 }}\)
\(88 = 74 + 6 + 8 \)
\(89 = 86 - 4 + 7 \)
\(90 = 6 \cdot 7 + 48 \)
\(91 = ( 8 - 4 )! + 67 \)
\(92 = 76 + 4! - 8 \)
\(93 = \frac{ 6! }{ 4 } - 87 \)
\(94 = ( 8 - 6 ) \cdot 47 \)
\(95 = \sqrt{64} + 87 \)
\(96 = 4 \cdot 7 + 68 \)
\(97 = 84 + 6 + 7 \)
\(98 = \frac{ 84 }{ 6 } \cdot 7 \)
\(99 = 4 \cdot 8 + 67 \)
\(100 = 4! \cdot 7 - 68 \)