All 100 targets have a solution.
\(1 = ( 9 - 8 )^{27 }\)
\(2 = \frac{ 98 }{ 7^{2 } }\)
\(3 = \frac{ 87 }{ 29 }\)
\(4 = \sqrt{\frac{ 72 }{ 9 } + 8 }\)
\(5 = 92 - 87 \)
\(6 = ( \frac{ 87 }{ 29 } )!\)
\(7 = \sqrt{78 - 29 }\)
\(8 = \sqrt{\frac{ 72 \cdot 8 }{ 9 }}\)
\(9 = \sqrt{\frac{ 72 }{ 8 } \cdot 9 }\)
\(10 = \sqrt{289} - 7 \)
\(11 = \frac{ 27 }{ 9 } + 8 \)
\(12 = 28 - 7 - 9 \)
\(13 = \frac{ 28 }{ 7 } + 9 \)
\(14 = 92 - 78 \)
\(15 = 97 - 82 \)
\(16 = \frac{ 72 }{ 9 } + 8 \)
\(17 = 89 - 72 \)
\(18 = \frac{ 72 }{ 8 } + 9 \)
\(19 = \sqrt{729} - 8 \)
\(20 = \frac{ \frac{ 7! }{ 28 } }{ 9 }\)
\(21 = \sqrt{98 \cdot 2} + 7 \)
\(22 = 27 - 8 + \sqrt{9 }\)
\(23 = \sqrt{28 \cdot 7} + 9 \)
\(24 = \sqrt{289} + 7 \)
\(25 = \frac{ 82 - 7 }{ \sqrt{9 } }\)
\(26 = 98 - 72 \)
\(27 = ( 9 - 8 ) \cdot 27 \)
\(28 = \sqrt{792 - 8 }\)
\(29 = ( 8 - 7 ) \cdot 29 \)
\(30 = 28 - 7 + 9 \)
\(31 = \frac{ 87 }{ \sqrt{9} } + 2 \)
\(32 = 27 + 8 - \sqrt{9 }\)
\(33 = 97 - 8^{2 }\)
\(34 = 2 \cdot 7 \cdot \sqrt{9} - 8 \)
\(35 = \sqrt{729} + 8 \)
\(36 = \frac{ 28 }{ 7 } \cdot 9 \)
\(37 = \frac{ 8 }{ 2 } \cdot 7 + 9 \)
\(38 = 27 + 8 + \sqrt{9 }\)
\(39 = \frac{ 87 - 9 }{ 2 }\)
\(40 = 89 - 7^{2 }\)
\(41 = \frac{ 82 }{ 9 - 7 }\)
\(42 = \frac{ 98 }{ 2 } - 7 \)
\(43 = \frac{ 8 }{ 2 } \cdot 9 + 7 \)
\(44 = 27 + 8 + 9 \)
\(45 = 8 \cdot 9 - 27 \)
\(46 = ( 7 - 2 ) \cdot 8 + \sqrt{9 }!\)
\(47 = ( 8 - 2 ) \cdot 9 - 7 \)
\(48 = \frac{ 78 }{ 2 } + 9 \)
\(49 = 78 - 29 \)
\(50 = 7^{2} - 8 + 9 \)
\(51 = 79 - 28 \)
\(52 = \frac{ 78 \cdot 2 }{ \sqrt{9 } }\)
\(53 = ( 7 - 2 ) \cdot 9 + 8 \)
\(54 = ( 2 \cdot 7 - 8 ) \cdot 9 \)
\(55 = 72 - 8 - 9 \)
\(56 = ( 9 - 7 ) \cdot 28 \)
\(57 = ( 27 - 8 ) \cdot \sqrt{9 }\)
\(58 = 87 - 29 \)
\(59 = 7 \cdot 9 - \frac{ 8 }{ 2 }\)
\(60 = 78 - 2 \cdot 9 \)
\(61 = 72 - 8 - \sqrt{9 }\)
\(62 = 89 - 27 \)
\(63 = 79 - 2 \cdot 8 \)
\(64 = \frac{ 72 \cdot 8 }{ 9 }\)
\(65 = \sqrt{7^{2}} \cdot 8 + 9 \)
\(66 = 82 - 7 - 9 \)
\(67 = 78 - 2 - 9 \)
\(68 = 8^{2} + 7 - \sqrt{9 }\)
\(69 = 97 - 28 \)
\(70 = 78 - 2^{\sqrt{9 }}\)
\(71 = 98 - 27 \)
\(72 = ( 9 - 8 ) \cdot 72 \)
\(73 = \sqrt{289 + 7 !}\)
\(74 = 2 \cdot 9 + 7 \cdot 8 \)
\(75 = 79 - \frac{ 8 }{ 2 }\)
\(76 = 87 - 2 - 9 \)
\(77 = 92 - 7 - 8 \)
\(78 = ( \sqrt{9} - 2 ) \cdot 78 \)
\(79 = 78 - 2 + \sqrt{9 }\)
\(80 = 82 + 7 - 9 \)
\(81 = \frac{ 72 }{ 8 } \cdot 9 \)
\(82 = \sqrt{82^{9 - 7 }}\)
\(83 = \frac{ 8 }{ 2 } + 79 \)
\(84 = \sqrt{72 \cdot 98 }\)
\(85 = 7 \cdot 8 + 29 \)
\(86 = 2^{\sqrt{9}} + 78 \)
\(87 = 97 - 2 - 8 \)
\(88 = 87 - 2 + \sqrt{9 }\)
\(89 = 72 + 8 + 9 \)
\(90 = \frac{ ( \frac{ 27 }{ 9 } )!! }{ 8 }\)
\(91 = 7 \cdot 9 + 28 \)
\(92 = ( 8 - 7 ) \cdot 92 \)
\(93 = 92 - 7 + 8 \)
\(94 = 87 - 2 + 9 \)
\(95 = 2 \cdot 8 + 79 \)
\(96 = 2 \cdot 9 + 78 \)
\(97 = ( 2 + 8 ) \cdot 9 + 7 \)
\(98 = 82 + 7 + 9 \)
\(99 = \frac{ 792 }{ 8 }\)
\(100 = ( 8 - 7 + 9 )^{2 }\)