99 of 100 targets have a solution.
\(1 = 79^{8 - 8 }\)
\(2 = 89 - 87 \)
\(3 = \sqrt{88 - 79 }\)
\(4 = \frac{ \sqrt{98 \cdot 8} }{ 7 }\)
\(5 = \sqrt{88 - 7 \cdot 9 }\)
\(6 = 78 - 8 \cdot 9 \)
\(7 = 8 - ( 8 - 7 )^{9 }\)
\(8 = 9 - ( 8 - 7 )^{8 }\)
\(9 = 88 - 79 \)
\(10 = ( 8 - 7 )^{8} + 9 \)
\(11 = 89 - 78 \)
\(12 = \frac{ 87 + 9 }{ 8 }\)
\(13 = \frac{ 88 + \sqrt{9} }{ 7 }\)
\(14 = 7 + 8 + 8 - 9 \)
\(15 = 79 - 8 \cdot 8 \)
\(16 = \sqrt{89 - 8} + 7 \)
\(17 = ( 8 - 7 ) \cdot 8 + 9 \)
\(18 = \frac{ 78 }{ \sqrt{9} } - 8 \)
\(19 = \sqrt{8 + 8} \cdot 7 - 9 \)
\(20 = 98 - 78 \)
\(21 = \frac{ 87 }{ \sqrt{9} } - 8 \)
\(22 = \frac{ 98 }{ 7 } + 8 \)
\(23 = 8 \cdot \sqrt{9} + 7 - 8 \)
\(24 = ( 9 - 7 ) \cdot 8 + 8 \)
\(25 = 88 - 7 \cdot 9 \)
\(26 = 7 + 8 + 8 + \sqrt{9 }\)
\(27 = \frac{ 88 - 7 }{ \sqrt{9 } }\)
\(28 = \sqrt{97 \cdot 8 + 8 }\)
\(29 = \sqrt{8 + 8} \cdot 9 - 7 \)
\(30 = 78 - 8 \cdot \sqrt{9 }!\)
\(31 = \sqrt{8 \cdot 8 \cdot 9} + 7 \)
\(32 = 7 + 8 + 8 + 9 \)
\(33 = 89 - 7 \cdot 8 \)
\(34 = \frac{ 78 }{ \sqrt{9} } + 8 \)
\(35 = \sqrt{98 \cdot 8} + 7 \)
\(36 = ( 7 - \frac{ 8 }{ 8 } ) \cdot \sqrt{9 }!\)
\(37 = \frac{ 87 }{ \sqrt{9} } + 8 \)
\(38 = \sqrt{\sqrt{7^{8}}} - 8 - \sqrt{9 }\)
\(39 = 7 \cdot 8 - 8 - 9 \)
\(40 = 89 - \sqrt{\sqrt{7^{8 }}}\)
\(41 = ( 8 + 8 ) \cdot \sqrt{9} - 7 \)
\(42 = 98 - 7 \cdot 8 \)
\(43 = ( 8 - \sqrt{9} ) \cdot 7 + 8 \)
\(44 = \frac{ 88 }{ 9 - 7 }\)
\(45 = 7 \cdot 8 - 8 - \sqrt{9 }\)
\(46 = 88 - 7 \cdot \sqrt{9 }!\)
\(47 = 7 \cdot 9 - 8 - 8 \)
\(48 = 8 \cdot 8 - 7 - 9 \)
\(49 = ( 8 + 8 - 9 ) \cdot 7 \)
\(50 = \sqrt{\sqrt{7^{8}}} - 8 + 9 \)
\(51 = 7 \cdot 8 - 8 + \sqrt{9 }\)
\(52 = 7^{\sqrt{\sqrt{8 + 8}}} + \sqrt{9 }\)
\(53 = ( 7 + 8 ) \cdot \sqrt{9} + 8 \)
\(54 = 78 - 8 \cdot \sqrt{9 }\)
\(55 = 7 \cdot 8 + 8 - 9 \)
\(56 = \frac{ 7! }{ 98 - 8 }\)
\(57 = 7 \cdot 8 - 8 + 9 \)
\(58 = 7^{\sqrt{\sqrt{8 + 8}}} + 9 \)
\(59 = 7 \cdot 9 - \sqrt{8 + 8 }\)
\(60 = 8 \cdot 8 - 7 + \sqrt{9 }\)
\(61 = 78 - 8 - 9 \)
\(62 = 8 \cdot 8 + 7 - 9 \)
\(63 = 79 - 8 - 8 \)
\(64 = 8^{\frac{ 7 + 9 }{ 8 }}\)
\(65 = \sqrt{8 \cdot 8} \cdot 7 + 9 \)
\(66 = 8 \cdot 8 - 7 + 9 \)
\(67 = 78 - 8 - \sqrt{9 }\)
\(68 = 788 - \sqrt{9 }!!\)
\(69 = 78 - \frac{ 9! }{ 8 ! }\)
\(70 = 87 - 8 - 9 \)
\(71 = 79 - \sqrt{8 \cdot 8 }\)
\(72 = 88 - 7 - 9 \)
\(73 = 78 - 8 + \sqrt{9 }\)
\(74 = 89 - 7 - 8 \)
\(75 = 79 - \sqrt{8 + 8 }\)
\(76 = 87 - 8 - \sqrt{9 }\)
\(77 = 78 + 8 - 9 \)
\(78 = ( 9 - 8 ) \cdot 78 \)
\(79 = 78 - 8 + 9 \)
\(80 = \frac{ 8 }{ 8 } + 79 \)
\(81 = 97 - 8 - 8 \)
\(82 = 87 - 8 + \sqrt{9 }\)
\(83 = 98 - 7 - 8 \)
\(84 = 88 - 7 + \sqrt{9 }\)
\(85 = 87 - 8 + \sqrt{9 }!\)
\(86 = 87 + 8 - 9 \)
\(87 = ( 9 - 8 ) \cdot 87 \)
\(88 = 87 - 8 + 9 \)
\(89 = ( 8 - 7 ) \cdot 89 \)
\(90 = 88 - 7 + 9 \)
\(91 = ( \sqrt{8 + 8} + 9 ) \cdot 7 \)
\(92 = 87 + 8 - \sqrt{9 }\)
\(93 = 97 - \sqrt{8 + 8 }\)
\(94 = ?\)
\(95 = 78 + 8 + 9 \)
\(96 = 97 - \frac{ 8 }{ 8 }\)
\(97 = 97 - 8 + 8 \)
\(98 = \frac{ 8 }{ 8 } + 97 \)
\(99 = 98 - 7 + 8 \)
\(100 = \sqrt{\sqrt{( 8 - 7 + 9 )^{8 }}}\)