All 100 targets have a solution.
\(1 = 3! \cdot 8 - 47 \)
\(2 = \frac{ 38 - 4! }{ 7 }\)
\(3 = \sqrt{47 - 38 }\)
\(4 = \frac{ \frac{ 84 }{ 3 } }{ 7 }\)
\(5 = \sqrt{73 - 48 }\)
\(6 = \sqrt{74 - 38 }\)
\(7 = \sqrt{34 + 7 + 8 }\)
\(8 = \sqrt{784 - 3 !!}\)
\(9 = 47 - 38 \)
\(10 = 38 - 4 \cdot 7 \)
\(11 = 48 - 37 \)
\(12 = \frac{ 48 }{ 7 - 3 }\)
\(13 = 7 \cdot 8 - 43 \)
\(14 = 78 - 4^{3 }\)
\(15 = \frac{ 84 }{ 7 } + 3 \)
\(16 = \sqrt{84 - 3} + 7 \)
\(17 = \frac{ 78 }{ 3! } + 4 \)
\(18 = \sqrt{( 73 + 8 ) \cdot 4 }\)
\(19 = 34 - 7 - 8 \)
\(20 = \sqrt{( 43 + 7 ) \cdot 8 }\)
\(21 = \frac{ 84 }{ 3 } - 7 \)
\(22 = \sqrt{487 - 3 }\)
\(23 = 47 - 3 \cdot 8 \)
\(24 = 38 - \sqrt{4} \cdot 7 \)
\(25 = 73 - 48 \)
\(26 = \frac{ 38 }{ \sqrt{4} } + 7 \)
\(27 = 38 - 4 - 7 \)
\(28 = 43 - 7 - 8 \)
\(29 = \sqrt{834 + 7 }\)
\(30 = \frac{ 78 }{ 3 } + 4 \)
\(31 = \sqrt{784} + 3 \)
\(32 = 38 - ( 7 - 4 )!\)
\(33 = 34 + 7 - 8 \)
\(34 = ( 8 - 7 ) \cdot 34 \)
\(35 = 78 - 43 \)
\(36 = 74 - 38 \)
\(37 = \sqrt{37^{\frac{ 8 }{ 4 }}}\)
\(38 = 48 - 3 - 7 \)
\(39 = \frac{ 8 }{ 4 } + 37 \)
\(40 = \frac{ 4! }{ 8 } + 37 \)
\(41 = 37 - 4 + 8 \)
\(42 = 43 + 7 - 8 \)
\(43 = ( 8 - 7 ) \cdot 43 \)
\(44 = 78 - 34 \)
\(45 = 47 + 3! - 8 \)
\(46 = 48 - \sqrt{7 - 3 }\)
\(47 = 84 - 37 \)
\(48 = \sqrt{43 - 7} \cdot 8 \)
\(49 = 34 + 7 + 8 \)
\(50 = 74 - 3 \cdot 8 \)
\(51 = 78 - 3 - 4 !\)
\(52 = 47 - 3 + 8 \)
\(53 = 87 - 34 \)
\(54 = 78 - 3! \cdot 4 \)
\(55 = 83 - 4 \cdot 7 \)
\(56 = \frac{ 48 }{ 3! } \cdot 7 \)
\(57 = 73 - 4! + 8 \)
\(58 = 43 + 7 + 8 \)
\(59 = ( 4! - 7 ) \cdot 3 + 8 \)
\(60 = 74 - 3! - 8 \)
\(61 = 73 - 4 - 8 \)
\(62 = ( 38 - 7 ) \cdot \sqrt{4 }\)
\(63 = 74 - 3 - 8 \)
\(64 = 784 - 3 !!\)
\(65 = 4^{3} - 7 + 8 \)
\(66 = 4 \cdot 7 + 38 \)
\(67 = 73 + \sqrt{4} - 8 \)
\(68 = 78 - 3! - 4 \)
\(69 = \frac{ 483 }{ 7 }\)
\(70 = 73 - \frac{ 4! }{ 8 }\)
\(71 = 3 \cdot 8 + 47 \)
\(72 = 83 - 4 - 7 \)
\(73 = ( 8 - 3 )! - 47 \)
\(74 = \frac{ 37 \cdot 8 }{ 4 }\)
\(75 = \frac{ 8 }{ 4 } + 73 \)
\(76 = \frac{ 4! }{ 8 } + 73 \)
\(77 = 73 - 4 + 8 \)
\(78 = ( 4 - 3 ) \cdot 78 \)
\(79 = 74 - 3 + 8 \)
\(80 = 83 + 4 - 7 \)
\(81 = 87 - 3 \cdot \sqrt{4 }\)
\(82 = 37 \cdot \sqrt{4} + 8 \)
\(83 = 38 \cdot \sqrt{4} + 7 \)
\(84 = \sqrt{784} \cdot 3 \)
\(85 = 37 + 48 \)
\(86 = 83 - 4 + 7 \)
\(87 = ( 4 - 3 ) \cdot 87 \)
\(88 = 84 - 3 + 7 \)
\(89 = 73 + 4! - 8 \)
\(90 = 7 \cdot 8 + 34 \)
\(91 = ( 4 + 7 ) \cdot 8 + 3 \)
\(92 = 83 + \sqrt{4} + 7 \)
\(93 = 3 \cdot \sqrt{4} + 87 \)
\(94 = 83 + 4 + 7 \)
\(95 = 3! \cdot 8 + 47 \)
\(96 = \sqrt{7 - 3} \cdot 48 \)
\(97 = ( 8 - 4 )! + 73 \)
\(98 = 3 \cdot 8 + 74 \)
\(99 = 7 \cdot 8 + 43 \)
\(100 = 83 + 4! - 7 \)