1 7 7 8

84 of 100 targets have a solution.

\(1 = ( 8 - 7 )^{17 }\)
\(2 = \sqrt{81 - 77 }\)
\(3 = \frac{ 17 + 7 }{ 8 }\)
\(4 = 81 - 77 \)
\(5 = 7 - ( \sqrt{81} - 7 )\)
\(6 = ( \frac{ 17 + 7 }{ 8 } )!\)
\(7 = 78 - 71 \)
\(8 = \frac{ 71 - 7 }{ 8 }\)
\(9 = \frac{ 71 - 8 }{ 7 }\)
\(10 = \sqrt{17 - 8} + 7 \)
\(11 = \frac{ 77 }{ 8 - 1 }\)
\(12 = \sqrt{17 + 8} + 7 \)
\(13 = \sqrt{177 - 8 }\)
\(14 = ( \sqrt{81} - 7 ) \cdot 7 \)
\(15 = 71 - 7 \cdot 8 \)
\(16 = 87 - 71 \)
\(17 = ( 8 - 7 ) \cdot 17 \)
\(18 = 17 - 7 + 8 \)
\(19 = \frac{ 7 }{ 7 } + 18 \)
\(20 = \sqrt{( 7 \cdot 7 + 1 ) \cdot 8 }\)
\(21 = \sqrt{17 - 8} \cdot 7 \)
\(22 = 1 \cdot 7 + 7 + 8 \)
\(23 = \sqrt{81} + 7 + 7 \)
\(24 = ( 81 - 77 )!\)
\(25 = \sqrt{7 \cdot 7} + 18 \)
\(26 = ?\)
\(27 = \sqrt{\frac{ 7! }{ 7 } + \sqrt{81 }}\)
\(28 = ( 7 - \sqrt{\sqrt{81}} ) \cdot 7 \)
\(29 = \sqrt{\sqrt{( 7 - 1 )^{8}}} - 7 \)
\(30 = ?\)
\(31 = 7 \cdot 7 - 18 \)
\(32 = 17 + 7 + 8 \)
\(33 = ?\)
\(34 = ( 7 - 1 ) \cdot 7 - 8 \)
\(35 = \sqrt{17 + 8} \cdot 7 \)
\(36 = \sqrt{\sqrt{( 7 - 1^{7} )^{8 }}}\)
\(37 = ?\)
\(38 = ?\)
\(39 = 7 \cdot 8 - 17 \)
\(40 = \frac{ 7! }{ 18 \cdot 7 }\)
\(41 = 1 \cdot 7 \cdot 7 - 8 \)
\(42 = 7 \cdot 7 + 1 - 8 \)
\(43 = 7 \cdot 7 - \sqrt{\sqrt{81 }}!\)
\(44 = ?\)
\(45 = ?\)
\(46 = 7 \cdot 7 - \sqrt{\sqrt{81 }}\)
\(47 = ?\)
\(48 = ( 7 - 1^{7} ) \cdot 8 \)
\(49 = 7^{\sqrt{81} - 7 }\)
\(50 = ( 7 - 1 ) \cdot 7 + 8 \)
\(51 = ?\)
\(52 = 7 \cdot 7 + \sqrt{\sqrt{81 }}\)
\(53 = ?\)
\(54 = ?\)
\(55 = ( 7 - 1 ) \cdot 8 + 7 \)
\(56 = 71 - 7 - 8 \)
\(57 = 1 \cdot 7 \cdot 7 + 8 \)
\(58 = 7 \cdot 7 + \sqrt{81 }\)
\(59 = 77 - 18 \)
\(60 = ?\)
\(61 = 78 - 17 \)
\(62 = 7 \cdot 8 - 1 + 7 \)
\(63 = ( 17 - 8 ) \cdot 7 \)
\(64 = \sqrt{71 - 7} \cdot 8 \)
\(65 = \frac{ \sqrt{81}! }{ 7! } - 7 \)
\(66 = \sqrt{\sqrt{7^{8}}} + 17 \)
\(67 = 7 \cdot 7 + 18 \)
\(68 = 77 - \sqrt{81 }\)
\(69 = 77 \cdot 1 - 8 \)
\(70 = 87 - 17 \)
\(71 = ( 8 - 7 ) \cdot 71 \)
\(72 = 71 - 7 + 8 \)
\(73 = 7 \cdot 8 + 17 \)
\(74 = 77 - \sqrt{\sqrt{81 }}\)
\(75 = ?\)
\(76 = 77 - 1^{8 }\)
\(77 = ( 18 - 7 ) \cdot 7 \)
\(78 = 1^{8} + 77 \)
\(79 = 1^{7} + 78 \)
\(80 = ( 17 - 7 ) \cdot 8 \)
\(81 = 81 - 7 + 7 \)
\(82 = \frac{ 7 }{ 7 } + 81 \)
\(83 = 77 + \sqrt{\sqrt{81 }}!\)
\(84 = 77 - 1 + 8 \)
\(85 = 77 \cdot 1 + 8 \)
\(86 = 77 + \sqrt{81 }\)
\(87 = 1^{7} \cdot 87 \)
\(88 = 1^{7} + 87 \)
\(89 = \frac{ \frac{ 7! }{ 7 } }{ 8 } - 1 \)
\(90 = ( 7 - 1 ) \cdot ( 7 + 8 )\)
\(91 = \frac{ \frac{ 7! }{ 7 } }{ 8 } + 1 \)
\(92 = ?\)
\(93 = 87 - 1 + 7 \)
\(94 = 87 \cdot 1 + 7 \)
\(95 = 17 + 78 \)
\(96 = ?\)
\(97 = \frac{ ( 7 - 1 )! }{ 8 } + 7 \)
\(98 = ( 7 - 1 + 8 ) \cdot 7 \)
\(99 = ?\)
\(100 = \sqrt{\sqrt{( 17 - 7 )^{8 }}}\)