98 of 100 targets have a solution.
\(1 = 27^{8 - 8 }\)
\(2 = \sqrt{82 - 78 }\)
\(3 = \frac{ ( \frac{ 28 }{ 7 } )! }{ 8 }\)
\(4 = 82 - 78 \)
\(5 = 87 - 82 \)
\(6 = 8 - \sqrt{\frac{ 28 }{ 7 }}\)
\(7 = \sqrt{88 - 7} - 2 \)
\(8 = \frac{ 72 - 8 }{ 8 }\)
\(9 = \frac{ 72 }{ \sqrt{8 \cdot 8 } }\)
\(10 = \frac{ 72 + 8 }{ 8 }\)
\(11 = 27 - 8 - 8 \)
\(12 = \frac{ 28 }{ 7 } + 8 \)
\(13 = \sqrt{82 + 87 }\)
\(14 = 78 - 8^{2 }\)
\(15 = 2 \cdot 8 + 7 - 8 \)
\(16 = 88 - 72 \)
\(17 = \frac{ 72 }{ 8 } + 8 \)
\(18 = \frac{ 72 }{ \sqrt{8 + 8 } }\)
\(19 = 27 - \sqrt{8 \cdot 8 }\)
\(20 = \frac{ 8 }{ 2 } \cdot 7 - 8 \)
\(21 = 7 - 2 + 8 + 8 \)
\(22 = \sqrt{28 \cdot 7} + 8 \)
\(23 = 87 - 8^{2 }\)
\(24 = ( 82 - 78 )!\)
\(25 = 2 + 7 + 8 + 8 \)
\(26 = 27 - \frac{ 8 }{ 8 }\)
\(27 = 27 - 8 + 8 \)
\(28 = \frac{ 8 }{ 8 } + 27 \)
\(29 = 28 - 7 + 8 \)
\(30 = 2 \cdot 7 + 8 + 8 \)
\(31 = \frac{ 78 }{ 2 } - 8 \)
\(32 = \frac{ 28 }{ 7 } \cdot 8 \)
\(33 = 7^{2} - 8 - 8 \)
\(34 = ( 8 - 2 ) \cdot 7 - 8 \)
\(35 = \frac{ 78 - 8 }{ 2 }\)
\(36 = \frac{ 8 }{ 2 } \cdot 7 + 8 \)
\(37 = 8 \cdot 8 - 27 \)
\(38 = ( 7 + 8 ) \cdot 2 + 8 \)
\(39 = 88 - 7^{2 }\)
\(40 = 2^{7} - 88 \)
\(41 = ( 8 - 2 ) \cdot 8 - 7 \)
\(42 = \sqrt{28 + 8} \cdot 7 \)
\(43 = 27 + 8 + 8 \)
\(44 = \sqrt{\sqrt{\sqrt{2 + 7}!^{8}}} + 8 \)
\(45 = 7^{2} - \sqrt{8 + 8 }\)
\(46 = 7 \cdot 8 - 2 - 8 \)
\(47 = \frac{ 78 }{ 2 } + 8 \)
\(48 = ( 2 \cdot 7 - 8 ) \cdot 8 \)
\(49 = 7^{2} - 8 + 8 \)
\(50 = 78 - 28 \)
\(51 = \frac{ 88 }{ 2 } + 7 \)
\(52 = 7 \cdot 8 - \frac{ 8 }{ 2 }\)
\(53 = 7^{2} + \sqrt{8 + 8 }\)
\(54 = 78 - ( \frac{ 8 }{ 2 } )!\)
\(55 = ( 8 - 2 ) \cdot 8 + 7 \)
\(56 = 72 - 8 - 8 \)
\(57 = 7^{\sqrt{\frac{ 8 }{ 2 }}} + 8 \)
\(58 = \sqrt{8 \cdot 8} \cdot 7 + 2 \)
\(59 = 87 - 28 \)
\(60 = \frac{ ( 7 + 8 ) \cdot 8 }{ 2 }\)
\(61 = 88 - 27 \)
\(62 = 78 - 2 \cdot 8 \)
\(63 = 87 - ( \frac{ 8 }{ 2 } )!\)
\(64 = 8^{\sqrt{\frac{ 28 }{ 7 }}}\)
\(65 = 7^{2} + 8 + 8 \)
\(66 = 7 \cdot 8 + 2 + 8 \)
\(67 = 82 - 7 - 8 \)
\(68 = 78 - 2 - 8 \)
\(69 = 8 \cdot 8 - 2 + 7 \)
\(70 = \frac{ \frac{ 8! }{ 72 } }{ 8 }\)
\(71 = 72 - \frac{ 8 }{ 8 }\)
\(72 = \frac{ 72 }{ 8 } \cdot 8 \)
\(73 = \frac{ 8 }{ 8 } + 72 \)
\(74 = 78 - \frac{ 8 }{ 2 }\)
\(75 = \sqrt{\sqrt{\sqrt{( 82 - 7 )^{8 }}}}\)
\(76 = \sqrt{8 + 8} + 72 \)
\(77 = 87 - 2 - 8 \)
\(78 = ( 2 + 8 ) \cdot 7 + 8 \)
\(79 = 88 - 2 - 7 \)
\(80 = \sqrt{8 \cdot 8} + 72 \)
\(81 = 82 + 7 - 8 \)
\(82 = \frac{ 8 }{ 2 } + 78 \)
\(83 = 82 - 7 + 8 \)
\(84 = 7 \cdot 8 + 28 \)
\(85 = 87 - \sqrt{\frac{ 8 }{ 2 }}\)
\(86 = \sqrt{78^{2}} + 8 \)
\(87 = ( 2 + 8 ) \cdot 8 + 7 \)
\(88 = 72 + 8 + 8 \)
\(89 = \sqrt{\frac{ 8 }{ 2 }} + 87 \)
\(90 = ( 8 - 2 ) \cdot ( 7 + 8 )\)
\(91 = \frac{ 728 }{ 8 }\)
\(92 = ?\)
\(93 = 87 - 2 + 8 \)
\(94 = 2 \cdot 8 + 78 \)
\(95 = \sqrt{87^{2}} + 8 \)
\(96 = ( 7 \cdot 8 - 8 ) \cdot 2 \)
\(97 = 82 + 7 + 8 \)
\(98 = ( 8 - 2 + 8 ) \cdot 7 \)
\(99 = ?\)
\(100 = \sqrt{\sqrt{( \frac{ 8! }{ 7! } + 2 )^{8 }}}\)