All 100 targets have a solution.
\(1 = 37^{4 - 4 }\)
\(2 = \sqrt{47 - 43 }\)
\(3 = \sqrt{\sqrt{34 + 47 }}\)
\(4 = 47 - 43 \)
\(5 = 7 - ( 3 - \frac{ 4 }{ 4 } )\)
\(6 = 34 - 4 \cdot 7 \)
\(7 = 44 - 37 \)
\(8 = ( 4 - 3 )^{4} + 7 \)
\(9 = \sqrt{34 + 47 }\)
\(10 = 74 - 4^{3 }\)
\(11 = \frac{ 44 }{ 7 - 3 }\)
\(12 = \sqrt{37 \cdot 4 - 4 }\)
\(13 = 47 - 34 \)
\(14 = ( 3 - \frac{ 4 }{ 4 } ) \cdot 7 \)
\(15 = 43 - 4 \cdot 7 \)
\(16 = 4 \cdot 7 - 3 \cdot 4 \)
\(17 = \frac{ 44 + 7 }{ 3 }\)
\(18 = \frac{ 43 - 7 }{ \sqrt{4 } }\)
\(19 = \sqrt{4}^{3} + 4 + 7 \)
\(20 = 34 - \sqrt{4} \cdot 7 \)
\(21 = \sqrt{434 + 7 }\)
\(22 = \frac{ 44 }{ \sqrt{7 - 3 } }\)
\(23 = 34 - 4 - 7 \)
\(24 = ( 47 - 43 )!\)
\(25 = 34 - \sqrt{4} - 7 \)
\(26 = \frac{ 74 + 4 }{ 3 }\)
\(27 = 4 \cdot 7 + 3 - 4 \)
\(28 = 34 - ( 7 - 4 )!\)
\(29 = 73 - 44 \)
\(30 = \sqrt{43 - 7} + 4 !\)
\(31 = 74 - 43 \)
\(32 = 43 - 4 - 7 \)
\(33 = 37 - \sqrt{4 \cdot 4 }\)
\(34 = 44 - 3 - 7 \)
\(35 = 47 - 3 \cdot 4 \)
\(36 = 37 - \frac{ 4 }{ 4 }\)
\(37 = 34 - 4 + 7 \)
\(38 = \frac{ 4 }{ 4 } + 37 \)
\(39 = 34 - \sqrt{4} + 7 \)
\(40 = 74 - 34 \)
\(41 = \sqrt{4 \cdot 4} + 37 \)
\(42 = 44 - \sqrt{7 - 3 }\)
\(43 = 34 + \sqrt{4} + 7 \)
\(44 = ( 7 - 3! ) \cdot 44 \)
\(45 = 34 + 4 + 7 \)
\(46 = 43 - 4 + 7 \)
\(47 = ( 4 - 3 ) \cdot 47 \)
\(48 = 44 - 3 + 7 \)
\(49 = ( 7 - 4 )! + 43 \)
\(50 = 74 - 3! \cdot 4 \)
\(51 = 34 + 4! - 7 \)
\(52 = ( 37 - 4! ) \cdot 4 \)
\(53 = 4 \cdot 4 + 37 \)
\(54 = 43 + 4 + 7 \)
\(55 = \sqrt{4}^{3} + 47 \)
\(56 = 3^{\sqrt{4}} + 47 \)
\(57 = 73 - 4 \cdot 4 \)
\(58 = 4^{7 - 4} - 3 !\)
\(59 = 3 \cdot 4 + 47 \)
\(60 = 43 + 4! - 7 \)
\(61 = 34 \cdot \sqrt{4} - 7 \)
\(62 = \frac{ 434 }{ 7 }\)
\(63 = 37 + \sqrt{4} + 4 !\)
\(64 = 74 - 3! - 4 \)
\(65 = 3 \cdot 7 + 44 \)
\(66 = ( 37 - 4 ) \cdot \sqrt{4 }\)
\(67 = 74 - 3 - 4 \)
\(68 = ( 7 - 3 )! + 44 \)
\(69 = ( 47 - 4! ) \cdot 3 \)
\(70 = ( 34 - 4! ) \cdot 7 \)
\(71 = 4 \cdot 7 + 43 \)
\(72 = 73 - \frac{ 4 }{ 4 }\)
\(73 = 73 - 4 + 4 \)
\(74 = \frac{ 4 }{ 4 } + 73 \)
\(75 = 74 - 3 + 4 \)
\(76 = 74 + 3! - 4 \)
\(77 = \sqrt{4 \cdot 4} + 73 \)
\(78 = 37 \cdot \sqrt{4} + 4 \)
\(79 = \frac{ 474 }{ 3 ! }\)
\(80 = 3 \cdot \sqrt{4} + 74 \)
\(81 = 34 + 47 \)
\(82 = ( 34 + 7 ) \cdot \sqrt{4 }\)
\(83 = 7^{\sqrt{4}} + 34 \)
\(84 = 74 + 3! + 4 \)
\(85 = \sqrt{4}^{7} - 43 \)
\(86 = 3 \cdot 4 + 74 \)
\(87 = 7^{3} - 4^{4 }\)
\(88 = \sqrt{7 - 3} \cdot 44 \)
\(89 = 4 \cdot 4 + 73 \)
\(90 = 43 + 47 \)
\(91 = 47 \cdot \sqrt{4} - 3 \)
\(92 = 7^{\sqrt{4}} + 43 \)
\(93 = 43 \cdot \sqrt{4} + 7 \)
\(94 = \sqrt{4}^{7} - 34 \)
\(95 = 74 - 3 + 4 !\)
\(96 = ( 4 \cdot 7 + 4 ) \cdot 3 \)
\(97 = 47 \cdot \sqrt{4} + 3 \)
\(98 = 3! \cdot 4 + 74 \)
\(99 = 73 + \sqrt{4} + 4 !\)
\(100 = ( 43 + 7 ) \cdot \sqrt{4 }\)