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