All 100 targets have a solution.
\(1 = \frac{ \frac{ 49 }{ 7 } }{ 7 }\)
\(2 = \frac{ \sqrt{49} + 7 }{ 7 }\)
\(3 = \sqrt{\frac{ 74 + 7 }{ 9 }}\)
\(4 = \sqrt{7 \cdot 9 - 47 }\)
\(5 = 79 - 74 \)
\(6 = \frac{ 47 + 7 }{ 9 }\)
\(7 = \sqrt{47 - 7 + 9 }\)
\(8 = \frac{ 47 + 9 }{ 7 }\)
\(9 = \frac{ 74 + 7 }{ 9 }\)
\(10 = \sqrt{97 - 4 + 7 }\)
\(11 = \frac{ 77 }{ \sqrt{49 } }\)
\(12 = \sqrt{47 + 97 }\)
\(13 = 77 - 4^{\sqrt{9 }}\)
\(14 = \frac{ 49 }{ 7 } + 7 \)
\(15 = ( 9 - 7 ) \cdot 4 + 7 \)
\(16 = 7 \cdot 9 - 47 \)
\(17 = 94 - 77 \)
\(18 = \frac{ 79 - 7 }{ 4 }\)
\(19 = 7 - 4 + 7 + 9 \)
\(20 = \frac{ 77 + \sqrt{9} }{ 4 }\)
\(21 = \sqrt{49} + 7 + 7 \)
\(22 = 4 \cdot 9 - 7 - 7 \)
\(23 = 97 - 74 \)
\(24 = \sqrt{7 \cdot 9 - 47 }!\)
\(25 = \frac{ 9! }{ 7! } - 47 \)
\(26 = \frac{ 97 + 7 }{ 4 }\)
\(27 = \frac{ 74 + 7 }{ \sqrt{9 } }\)
\(28 = 77 - 49 \)
\(29 = 4! + 7 + 7 - 9 \)
\(30 = 79 - 7^{\sqrt{4 }}\)
\(31 = 47 - 7 - 9 \)
\(32 = 79 - 47 \)
\(33 = ( 7 - ( 7 - 4 ) )! + 9 \)
\(34 = \frac{ 77 - 9 }{ \sqrt{4 } }\)
\(35 = 49 - 7 - 7 \)
\(36 = \frac{ 79 - 7 }{ \sqrt{4 } }\)
\(37 = \frac{ 74 }{ 9 - 7 }\)
\(38 = 4 \cdot 7 + 7 + \sqrt{9 }\)
\(39 = ( 7 + 9 ) \cdot \sqrt{4} + 7 \)
\(40 = ( \frac{ 7 }{ 7 } + 9 ) \cdot 4 \)
\(41 = 77 - 4 \cdot 9 \)
\(42 = \sqrt{49} \cdot 7 - 7 \)
\(43 = 47 - 7 + \sqrt{9 }\)
\(44 = 77 - 4! - 9 \)
\(45 = 47 + 7 - 9 \)
\(46 = 47 - 7 + \sqrt{9 }!\)
\(47 = \sqrt{47^{9 - 7 }}\)
\(48 = 49 - \frac{ 7 }{ 7 }\)
\(49 = 47 - 7 + 9 \)
\(50 = 97 - 47 \)
\(51 = 79 - 4 \cdot 7 \)
\(52 = \frac{ 97 + 7 }{ \sqrt{4 } }\)
\(53 = \frac{ 477 }{ 9 }\)
\(54 = 774 - \sqrt{9 }!!\)
\(55 = ( 9 - 7 ) \cdot 4! + 7 \)
\(56 = \sqrt{49} \cdot 7 + 7 \)
\(57 = 47 + 7 + \sqrt{9 }\)
\(58 = 74 - 7 - 9 \)
\(59 = 77 - \sqrt{4} \cdot 9 \)
\(60 = 7 \cdot 9 + 4 - 7 \)
\(61 = 74 - 7 - \sqrt{9 }!\)
\(62 = 77 - 4! + 9 \)
\(63 = 47 + 7 + 9 \)
\(64 = 77 - 4 - 9 \)
\(65 = 77 - 4 \cdot \sqrt{9 }\)
\(66 = 77 - \sqrt{4} - 9 \)
\(67 = 77 - 4 - \sqrt{9 }!\)
\(68 = 79 - 4 - 7 \)
\(69 = 97 - 4 \cdot 7 \)
\(70 = 77 - \sqrt{49 }\)
\(71 = \frac{ 497 }{ 7 }\)
\(72 = 74 + 7 - 9 \)
\(73 = 79 - ( 7 - 4 )!\)
\(74 = \sqrt{74^{9 - 7 }}\)
\(75 = 74 + 7 - \sqrt{9 }!\)
\(76 = 74 - 7 + 9 \)
\(77 = ( 4 - \sqrt{9} ) \cdot 77 \)
\(78 = 74 + 7 - \sqrt{9 }\)
\(79 = 77 - 4 + \sqrt{9 }!\)
\(80 = 94 - 7 - 7 \)
\(81 = \sqrt{74 + 7} \cdot 9 \)
\(82 = 77 - 4 + 9 \)
\(83 = \frac{ 747 }{ 9 }\)
\(84 = \sqrt{49} + 77 \)
\(85 = ( 7 - 4 )! + 79 \)
\(86 = \frac{ 774 }{ 9 }\)
\(87 = 94 - \sqrt{7 \cdot 7 }\)
\(88 = 77 + \sqrt{4} + 9 \)
\(89 = 4 \cdot \sqrt{9} + 77 \)
\(90 = 74 + 7 + 9 \)
\(91 = 97 - ( 7 - 4 )!\)
\(92 = 77 + 4! - 9 \)
\(93 = 94 - \frac{ 7 }{ 7 }\)
\(94 = ( 9 - 7 ) \cdot 47 \)
\(95 = \frac{ 7 }{ 7 } + 94 \)
\(96 = 79 + 4! - 7 \)
\(97 = \frac{ 7! + 9! }{ 7! } + 4 !\)
\(98 = 7 \cdot 7 + 49 \)
\(99 = ( \sqrt{7 \cdot 7} + 4 ) \cdot 9 \)
\(100 = 97 - 4 + 7 \)