96 of 100 targets have a solution.
\(1 = ( 8 - 7 )^{27 }\)
\(2 = \frac{ 28 }{ 7 + 7 }\)
\(3 = 7 - \frac{ 28 }{ 7 }\)
\(4 = \frac{ 28 }{ \sqrt{7 \cdot 7 } }\)
\(5 = 82 - 77 \)
\(6 = 78 - 72 \)
\(7 = \sqrt{77 - 28 }\)
\(8 = \sqrt{78 - 2 \cdot 7 }\)
\(9 = \sqrt{\frac{ 28 }{ 7 }} + 7 \)
\(10 = \sqrt{\frac{ 72 }{ 8 }} + 7 \)
\(11 = \frac{ 28 }{ 7 } + 7 \)
\(12 = 27 - 7 - 8 \)
\(13 = 77 - 8^{2 }\)
\(14 = 28 - 7 - 7 \)
\(15 = 87 - 72 \)
\(16 = \frac{ 72 }{ 8 } + 7 \)
\(17 = ( \frac{ 28 }{ 7 } )! - 7 \)
\(18 = \frac{ 8 }{ 2 } + 7 + 7 \)
\(19 = 27 - \frac{ 8! }{ 7 ! }\)
\(20 = 7 - 2 + 7 + 8 \)
\(21 = 7 \cdot 7 - 28 \)
\(22 = \sqrt{\sqrt{7^{8}}} - 27 \)
\(23 = \frac{ 2^{7} }{ 8 } + 7 \)
\(24 = ( \frac{ 7 }{ 7 } + 2 ) \cdot 8 \)
\(25 = \sqrt{2^{7} \cdot 8} - 7 \)
\(26 = 27 + 7 - 8 \)
\(27 = ( 8 - 7 ) \cdot 27 \)
\(28 = 27 - 7 + 8 \)
\(29 = 7 \cdot 8 - 27 \)
\(30 = 2 \cdot 8 + 7 + 7 \)
\(31 = ( \frac{ 28 }{ 7 } )! + 7 \)
\(32 = \frac{ 78 }{ 2 } - 7 \)
\(33 = 82 - 7 \cdot 7 \)
\(34 = 7^{2} - 7 - 8 \)
\(35 = \sqrt{7 \cdot 7} + 28 \)
\(36 = ( 7 + 7 ) \cdot 2 + 8 \)
\(37 = ( 7 + 8 ) \cdot 2 + 7 \)
\(38 = 87 - 7^{2 }\)
\(39 = 7 \cdot 7 - 2 - 8 \)
\(40 = \frac{ 87 - 7 }{ 2 }\)
\(41 = \frac{ 287 }{ 7 }\)
\(42 = 27 + 7 + 8 \)
\(43 = ( 7 - 2 ) \cdot 7 + 8 \)
\(44 = ( 7 + 7 + 8 ) \cdot 2 \)
\(45 = 7 \cdot 7 - \frac{ 8 }{ 2 }\)
\(46 = \frac{ 78 }{ 2 } + 7 \)
\(47 = \frac{ 87 + 7 }{ 2 }\)
\(48 = 7^{2} + 7 - 8 \)
\(49 = 77 - 28 \)
\(50 = 2^{7} - 78 \)
\(51 = 78 - 27 \)
\(52 = \sqrt{2 + 7} + \sqrt{\sqrt{7^{8 }}}\)
\(53 = 77 - ( \frac{ 8 }{ 2 } )!\)
\(54 = \sqrt{7 \cdot 7} \cdot 8 - 2 \)
\(55 = 7 \cdot 7 - 2 + 8 \)
\(56 = \sqrt{72 - 8} \cdot 7 \)
\(57 = 72 - 7 - 8 \)
\(58 = \sqrt{7 \cdot 7} \cdot 8 + 2 \)
\(59 = 7 \cdot 7 + 2 + 8 \)
\(60 = 87 - 27 \)
\(61 = 77 - 2 \cdot 8 \)
\(62 = \frac{ 7! }{ 72 } - 8 \)
\(63 = \frac{ 72 \cdot 7 }{ 8 }\)
\(64 = 78 - 2 \cdot 7 \)
\(65 = 7 \cdot 8 + 2 + 7 \)
\(66 = ?\)
\(67 = 77 - 2 - 8 \)
\(68 = 82 - 7 - 7 \)
\(69 = 78 - 2 - 7 \)
\(70 = 2 \cdot 7 + 7 \cdot 8 \)
\(71 = 72 + 7 - 8 \)
\(72 = ( 8 - 7 ) \cdot 72 \)
\(73 = 72 - 7 + 8 \)
\(74 = \sqrt{\sqrt{2 + 7}^{8}} - 7 \)
\(75 = 77 - \sqrt{\frac{ 8 }{ 2 }}\)
\(76 = \sqrt{\sqrt{7^{8}}} + 27 \)
\(77 = 7 \cdot 7 + 28 \)
\(78 = 87 - 2 - 7 \)
\(79 = \sqrt{\frac{ 8 }{ 2 }} + 77 \)
\(80 = \frac{ 8! }{ 72 \cdot 7 }\)
\(81 = \frac{ 8 }{ 2 } + 77 \)
\(82 = 82 - 7 + 7 \)
\(83 = 7 \cdot 8 + 27 \)
\(84 = 87 - \sqrt{2 + 7 }\)
\(85 = \sqrt{77^{2}} + 8 \)
\(86 = ?\)
\(87 = 72 + 7 + 8 \)
\(88 = \sqrt{2^{7} - 7} \cdot 8 \)
\(89 = \sqrt{7 \cdot 7} + 82 \)
\(90 = \sqrt{2 + 7} + 87 \)
\(91 = ( 7 - 2 + 8 ) \cdot 7 \)
\(92 = 2 \cdot 7 + 78 \)
\(93 = 2 \cdot 8 + 77 \)
\(94 = \sqrt{87^{2}} + 7 \)
\(95 = ?\)
\(96 = 82 + 7 + 7 \)
\(97 = \frac{ \sqrt{2 + 7}!! }{ 8 } + 7 \)
\(98 = \sqrt{28 \cdot 7} \cdot 7 \)
\(99 = ?\)
\(100 = \sqrt{\sqrt{( \sqrt{2 + 7} + 7 )^{8 }}}\)