99 of 100 targets have a solution.
\(1 = 48^{7 - 7 }\)
\(2 = \sqrt{78 - 74 }\)
\(3 = \sqrt{7 \cdot 8 - 47 }\)
\(4 = 78 - 74 \)
\(5 = \frac{ 47 - 7 }{ 8 }\)
\(6 = \frac{ 84 }{ 7 + 7 }\)
\(7 = 84 - 77 \)
\(8 = ( 7 - 7 ) \cdot 4 + 8 \)
\(9 = 7 \cdot 8 - 47 \)
\(10 = 4 + 7 + 7 - 8 \)
\(11 = \sqrt{\frac{ 847 }{ 7 }}\)
\(12 = \frac{ 84 }{ \sqrt{7 \cdot 7 } }\)
\(13 = 87 - 74 \)
\(14 = \sqrt{\sqrt{784} \cdot 7 }\)
\(15 = \frac{ \frac{ 7! }{ 48 } }{ 7 }\)
\(16 = \frac{ 8 }{ 4 } + 7 + 7 \)
\(17 = \sqrt{74 + 7} + 8 \)
\(18 = 74 - 7 \cdot 8 \)
\(19 = \frac{ 84 }{ 7 } + 7 \)
\(20 = \frac{ 87 - 7 }{ 4 }\)
\(21 = \sqrt{784} - 7 \)
\(22 = \sqrt{4 \cdot 7 \cdot 7} + 8 \)
\(23 = \frac{ \sqrt{4}^{7} }{ 8 } + 7 \)
\(24 = ( 78 - 74 )!\)
\(25 = 74 - \sqrt{\sqrt{7^{8 }}}\)
\(26 = \frac{ 78 }{ 7 - 4 }\)
\(27 = 4 \cdot 7 + 7 - 8 \)
\(28 = ( 8 - 7 ) \cdot 4 \cdot 7 \)
\(29 = 77 - 48 \)
\(30 = 4! + 7 + 7 - 8 \)
\(31 = 78 - 47 \)
\(32 = 47 - 7 - 8 \)
\(33 = 4 \cdot 8 + \frac{ 7 }{ 7 }\)
\(34 = 48 - 7 - 7 \)
\(35 = \sqrt{784} + 7 \)
\(36 = ( \frac{ 7 }{ 7 } + 8 ) \cdot 4 \)
\(37 = 7 \cdot 7 - 4 - 8 \)
\(38 = 87 - 7^{\sqrt{4 }}\)
\(39 = 47 - \frac{ 8! }{ 7 ! }\)
\(40 = 87 - 47 \)
\(41 = 48 - \sqrt{7 \cdot 7 }\)
\(42 = 7^{\frac{ 8 }{ 4 }} - 7 \)
\(43 = 4 \cdot 7 + 7 + 8 \)
\(44 = ( 7 + 7 + 8 ) \cdot \sqrt{4 }\)
\(45 = 77 - 4 \cdot 8 \)
\(46 = 47 + 7 - 8 \)
\(47 = ( 8 - 7 ) \cdot 47 \)
\(48 = 47 - 7 + 8 \)
\(49 = \frac{ 7 }{ 7 } + 48 \)
\(50 = 78 - 4 \cdot 7 \)
\(51 = \frac{ 8 }{ 4 } + 7 \cdot 7 \)
\(52 = \sqrt{7 \cdot 7} \cdot 8 - 4 \)
\(53 = 77 - ( 8 - 4 )!\)
\(54 = \sqrt{\sqrt{\sqrt{( 47 + 7 )^{8 }}}}\)
\(55 = \sqrt{7 \cdot 7} + 48 \)
\(56 = 87 - 4! - 7 \)
\(57 = \sqrt{7^{\sqrt{4}}} \cdot 7 + 8 \)
\(58 = \sqrt{7 \cdot 7} \cdot 8 + \sqrt{4 }\)
\(59 = 74 - 7 - 8 \)
\(60 = \frac{ \sqrt{7 \cdot 7}! }{ 84 }\)
\(61 = 77 - 4! + 8 \)
\(62 = 47 + 7 + 8 \)
\(63 = ( \frac{ 8 }{ 4 } + 7 ) \cdot 7 \)
\(64 = 78 - \sqrt{4} \cdot 7 \)
\(65 = 77 - 4 - 8 \)
\(66 = 74 - \frac{ 8! }{ 7 ! }\)
\(67 = 78 - 4 - 7 \)
\(68 = \frac{ 7! - 8 }{ 74 }\)
\(69 = 78 - \sqrt{4} - 7 \)
\(70 = 84 - 7 - 7 \)
\(71 = 77 + \sqrt{4} - 8 \)
\(72 = \sqrt{74 + 7} \cdot 8 \)
\(73 = 74 + 7 - 8 \)
\(74 = ( 8 - 7 ) \cdot 74 \)
\(75 = 74 - 7 + 8 \)
\(76 = 87 - 4 - 7 \)
\(77 = \sqrt{847 \cdot 7 }\)
\(78 = 87 - \sqrt{4} - 7 \)
\(79 = \frac{ 8 }{ 4 } + 77 \)
\(80 = \frac{ 4! }{ 8 } + 77 \)
\(81 = 77 - 4 + 8 \)
\(82 = 87 + \sqrt{4} - 7 \)
\(83 = 84 - \frac{ 7 }{ 7 }\)
\(84 = \frac{ 84 }{ 7 } \cdot 7 \)
\(85 = \frac{ 7 }{ 7 } + 84 \)
\(86 = \frac{ \frac{ 7! }{ 7 } }{ 8 } - 4 \)
\(87 = 77 + \sqrt{4} + 8 \)
\(88 = ( 7 + 7 + 8 ) \cdot 4 \)
\(89 = 74 + 7 + 8 \)
\(90 = 87 - 4 + 7 \)
\(91 = \sqrt{7 \cdot 7} + 84 \)
\(92 = \sqrt{4} \cdot 7 + 78 \)
\(93 = 77 + 4! - 8 \)
\(94 = \sqrt{87^{\sqrt{4}}} + 7 \)
\(95 = 78 + 4! - 7 \)
\(96 = 87 + \sqrt{4} + 7 \)
\(97 = 7 \cdot 7 + 48 \)
\(98 = 84 + 7 + 7 \)
\(99 = ?\)
\(100 = \sqrt{\sqrt{( 7 - 4 + 7 )^{8 }}}\)