4 4 7 9

All 100 targets have a solution.

\(1 = 79^{4 - 4 }\)
\(2 = 49 - 47 \)
\(3 = \frac{ 49 }{ 7 } - 4 \)
\(4 = 7 - ( \sqrt{49} - 4 )\)
\(5 = \sqrt{74 - 49 }\)
\(6 = ( \frac{ 49 }{ 7 } - 4 )!\)
\(7 = \sqrt{49 \cdot 4} - 7 \)
\(8 = \frac{ 74 - \sqrt{4} }{ 9 }\)
\(9 = \sqrt{\sqrt{49} + 74 }\)
\(10 = \sqrt{49} - 4 + 7 \)
\(11 = 47 - 4 \cdot 9 \)
\(12 = \frac{ 9 }{ 7 - 4 } \cdot 4 \)
\(13 = ( 9 - 4 ) \cdot 4 - 7 \)
\(14 = \frac{ 47 + 9 }{ 4 }\)
\(15 = 7 - \frac{ 4 }{ 4 } + 9 \)
\(16 = 4 - 4 + 7 + 9 \)
\(17 = \frac{ 44 + 7 }{ \sqrt{9 } }\)
\(18 = \sqrt{49} + 4 + 7 \)
\(19 = 7 \cdot 9 - 44 \)
\(20 = 94 - 74 \)
\(21 = 49 - 4 \cdot 7 \)
\(22 = \frac{ 44 }{ 9 - 7 }\)
\(23 = 44 - 7 \cdot \sqrt{9 }\)
\(24 = 744 - \sqrt{9 }!!\)
\(25 = 74 - 49 \)
\(26 = \frac{ 74 + 4 }{ \sqrt{9 } }\)
\(27 = ( 9 - 4 ) \cdot 4 + 7 \)
\(28 = 44 - 7 - 9 \)
\(29 = 47 - \sqrt{4} \cdot 9 \)
\(30 = 4 + 4! - 7 + 9 \)
\(31 = \frac{ 49 }{ 7 } + 4 !\)
\(32 = 47 - 4! + 9 \)
\(33 = 4 \cdot 7 - 4 + 9 \)
\(34 = 47 - 4 - 9 \)
\(35 = 79 - 44 \)
\(36 = 47 - \sqrt{4} - 9 \)
\(37 = 47 - 4 - \sqrt{9 }!\)
\(38 = 49 - 4 - 7 \)
\(39 = 4 \cdot 9 - 4 + 7 \)
\(40 = 47 - \sqrt{49 }\)
\(41 = 47 - \sqrt{4 \cdot 9 }\)
\(42 = 44 + 7 - 9 \)
\(43 = 49 - ( 7 - 4 )!\)
\(44 = \sqrt{44^{9 - 7 }}\)
\(45 = \sqrt{49} \cdot 7 - 4 \)
\(46 = 44 - 7 + 9 \)
\(47 = 94 - 47 \)
\(48 = 44 + 7 - \sqrt{9 }\)
\(49 = \frac{ 7^{4} }{ 49 }\)
\(50 = 74 - 4 \cdot \sqrt{9 }!\)
\(51 = 79 - 4! - 4 \)
\(52 = 47 - 4 + 9 \)
\(53 = 97 - 44 \)
\(54 = 47 + \sqrt{49 }\)
\(55 = ( 7 - 4 )! + 49 \)
\(56 = ( \sqrt{49} + 7 ) \cdot 4 \)
\(57 = 44 + 7 + \sqrt{9 }!\)
\(58 = 47 + \sqrt{4} + 9 \)
\(59 = 4 \cdot \sqrt{9} + 47 \)
\(60 = 44 + 7 + 9 \)
\(61 = 74 - 4 - 9 \)
\(62 = 47 + 4! - 9 \)
\(63 = 79 - 4 \cdot 4 \)
\(64 = \sqrt{7! - 944 }\)
\(65 = 7 \cdot \sqrt{9} + 44 \)
\(66 = 94 - 4 \cdot 7 \)
\(67 = 74 - \sqrt{49 }\)
\(68 = 74 - \sqrt{4 \cdot 9 }\)
\(69 = 74 + 4 - 9 \)
\(70 = ( \frac{ 4 }{ 4 } + 9 ) \cdot 7 \)
\(71 = 79 - 4 - 4 \)
\(72 = ( \frac{ 4 }{ 4 } + 7 ) \cdot 9 \)
\(73 = ( 9 - 4 )! - 47 \)
\(74 = ( 4 - \sqrt{9} ) \cdot 74 \)
\(75 = 74 + 4 - \sqrt{9 }\)
\(76 = ( 47 - 9 ) \cdot \sqrt{4 }\)
\(77 = 4 \cdot 7 + 49 \)
\(78 = 79 - \frac{ 4 }{ 4 }\)
\(79 = \frac{ 474 }{ \sqrt{9 }! }\)
\(80 = \frac{ 4 }{ 4 } + 79 \)
\(81 = \sqrt{49} + 74 \)
\(82 = \sqrt{4}^{\sqrt{9}} + 74 \)
\(83 = 4 \cdot 9 + 47 \)
\(84 = ( 49 - 7 ) \cdot \sqrt{4 }\)
\(85 = 47 \cdot \sqrt{4} - 9 \)
\(86 = 4 \cdot \sqrt{9} + 74 \)
\(87 = 74 + 4 + 9 \)
\(88 = ( 9 - 7 ) \cdot 44 \)
\(89 = 97 - 4 - 4 \)
\(90 = ( 7 - 4 )^{4} + 9 \)
\(91 = 94 + 4 - 7 \)
\(92 = \sqrt{4} \cdot 9 + 74 \)
\(93 = 97 - \sqrt{4 \cdot 4 }\)
\(94 = ( \sqrt{9}! - 4 ) \cdot 47 \)
\(95 = 4 \cdot 4 + 79 \)
\(96 = 47 + 49 \)
\(97 = 94 - 4 + 7 \)
\(98 = \frac{ 4 }{ 4 } + 97 \)
\(99 = 79 - 4 + 4 !\)
\(100 = ( 7 - 4 )! + 94 \)