All 100 targets have a solution.
\(1 = 8 - \frac{ 49 }{ 7 }\)
\(2 = 74 - 8 \cdot 9 \)
\(3 = \frac{ 48 }{ 7 + 9 }\)
\(4 = \sqrt{94 - 78 }\)
\(5 = 84 - 79 \)
\(6 = \frac{ 78 }{ 4 + 9 }\)
\(7 = 94 - 87 \)
\(8 = \sqrt{47 + 8 + 9 }\)
\(9 = \frac{ 48 }{ \sqrt{9} } - 7 \)
\(10 = \frac{ 98 }{ 7 } - 4 \)
\(11 = 4 \cdot 7 - 8 - 9 \)
\(12 = \frac{ 48 }{ 7 - \sqrt{9 } }\)
\(13 = 97 - 84 \)
\(14 = 78 - 4^{\sqrt{9 }}\)
\(15 = 89 - 74 \)
\(16 = 94 - 78 \)
\(17 = \frac{ 78 }{ \sqrt{9}! } + 4 \)
\(18 = \frac{ 98 }{ 7 } + 4 \)
\(19 = \sqrt{784} - 9 \)
\(20 = 7 - 4 + 8 + 9 \)
\(21 = \frac{ 84 }{ 7 } + 9 \)
\(22 = \sqrt{487 - \sqrt{9 }}\)
\(23 = 47 - 8 \cdot \sqrt{9 }\)
\(24 = 98 - 74 \)
\(25 = 8 \cdot 9 - 47 \)
\(26 = 74 - 8 \cdot \sqrt{9 }!\)
\(27 = 48 - 7 \cdot \sqrt{9 }\)
\(28 = 748 - \sqrt{9 }!!\)
\(29 = 78 - 49 \)
\(30 = 47 - 8 - 9 \)
\(31 = 79 - 48 \)
\(32 = 48 - 7 - 9 \)
\(33 = \frac{ 87 }{ \sqrt{9} } + 4 \)
\(34 = 49 - 7 - 8 \)
\(35 = \frac{ 84 }{ \sqrt{9} } + 7 \)
\(36 = 47 - 8 - \sqrt{9 }\)
\(37 = \sqrt{784} + 9 \)
\(38 = 87 - 49 \)
\(39 = \frac{ 87 - 9 }{ \sqrt{4 } }\)
\(40 = 89 - 7^{\sqrt{4 }}\)
\(41 = \sqrt{49} \cdot 7 - 8 \)
\(42 = 89 - 47 \)
\(43 = 7 \cdot 8 - 4 - 9 \)
\(44 = 48 - 7 + \sqrt{9 }\)
\(45 = 78 - 4! - 9 \)
\(46 = 47 + 8 - 9 \)
\(47 = ( 9 - 8 ) \cdot 47 \)
\(48 = 47 - 8 + 9 \)
\(49 = 97 - 48 \)
\(50 = 48 - 7 + 9 \)
\(51 = 98 - 47 \)
\(52 = 47 + 8 - \sqrt{9 }\)
\(53 = \frac{ 87 }{ \sqrt{9} } + 4 !\)
\(54 = 87 - 4! - 9 \)
\(55 = 79 - ( 8 - 4 )!\)
\(56 = \frac{ 49 }{ 7 } \cdot 8 \)
\(57 = 74 - 8 - 9 \)
\(58 = 47 + 8 + \sqrt{9 }\)
\(59 = 7 \cdot 9 + 4 - 8 \)
\(60 = 78 - \sqrt{4} \cdot 9 \)
\(61 = 89 - 4 \cdot 7 \)
\(62 = 8^{\sqrt{4}} + 7 - 9 \)
\(63 = \sqrt{49} \cdot 8 + 7 \)
\(64 = 47 + 8 + 9 \)
\(65 = 78 - 4 - 9 \)
\(66 = 78 - 4 \cdot \sqrt{9 }\)
\(67 = 79 - 4 - 8 \)
\(68 = 84 - 7 - 9 \)
\(69 = 7 \cdot \sqrt{9} + 48 \)
\(70 = 98 - 4 \cdot 7 \)
\(71 = 78 - \sqrt{49 }\)
\(72 = 78 - \sqrt{4 \cdot 9 }\)
\(73 = 74 + 8 - 9 \)
\(74 = ( 9 - 8 ) \cdot 74 \)
\(75 = 74 - 8 + 9 \)
\(76 = 79 - \frac{ 4! }{ 8 }\)
\(77 = 79 - \frac{ 8 }{ 4 }\)
\(78 = 89 - 4 - 7 \)
\(79 = 94 - 7 - 8 \)
\(80 = 87 - \sqrt{49 }\)
\(81 = \frac{ 8 }{ 4 } + 79 \)
\(82 = 84 + 7 - 9 \)
\(83 = 78 - 4 + 9 \)
\(84 = \sqrt{784 \cdot 9 }\)
\(85 = \sqrt{49} + 78 \)
\(86 = 84 - 7 + 9 \)
\(87 = 98 - 4 - 7 \)
\(88 = 84 + 7 - \sqrt{9 }\)
\(89 = 78 + \sqrt{4} + 9 \)
\(90 = 4 \cdot \sqrt{9} + 78 \)
\(91 = 74 + 8 + 9 \)
\(92 = 87 - 4 + 9 \)
\(93 = 94 + 7 - 8 \)
\(94 = \sqrt{49} + 87 \)
\(95 = 94 - 7 + 8 \)
\(96 = ( 9 - 7 ) \cdot 48 \)
\(97 = \sqrt{97^{\frac{ 8 }{ 4 }}}\)
\(98 = 8 \cdot \sqrt{9} + 74 \)
\(99 = \frac{ 8 }{ 4 } + 97 \)
\(100 = 84 + 7 + 9 \)