All 100 targets have a solution.
\(1 = 9 - ( 14 - 6 )\)
\(2 = \frac{ 16 + \sqrt{4} }{ 9 }\)
\(3 = 16 - 4 - 9 \)
\(4 = 6 \cdot \sqrt{9} - 14 \)
\(5 = 9 - \frac{ 16 }{ 4 }\)
\(6 = \sqrt{\frac{ 16 }{ 4 } \cdot 9 }\)
\(7 = \sqrt{\frac{ 196 }{ 4 }}\)
\(8 = \frac{ 49 - 1 }{ 6 }\)
\(9 = \sqrt{169} - 4 \)
\(10 = \sqrt{196} - 4 \)
\(11 = 19 - \sqrt{64 }\)
\(12 = 61 - 49 \)
\(13 = \frac{ 16 }{ 4 } + 9 \)
\(14 = \sqrt{\sqrt{16} \cdot 49 }\)
\(15 = \sqrt{169} + \sqrt{4 }\)
\(16 = \sqrt{196} + \sqrt{4 }\)
\(17 = \sqrt{169} + 4 \)
\(18 = \sqrt{196} + 4 \)
\(19 = \sqrt{19^{6 - 4 }}\)
\(20 = 4 \cdot 9 - 16 \)
\(21 = \frac{ 14 \cdot 9 }{ 6 }\)
\(22 = \sqrt{4 \cdot 9} + 16 \)
\(23 = 16 + \sqrt{49 }\)
\(24 = \frac{ 96 \cdot 1 }{ 4 }\)
\(25 = 61 - 4 \cdot 9 \)
\(26 = \sqrt{169 \cdot 4 }\)
\(27 = 46 - 19 \)
\(28 = 69 - 41 \)
\(29 = 14 + 6 + 9 \)
\(30 = ( 14 - 9 ) \cdot 6 \)
\(31 = 16 + 4! - 9 \)
\(32 = \frac{ 96 }{ 4 - 1 }\)
\(33 = 49 - 16 \)
\(34 = \sqrt{4} \cdot 9 + 16 \)
\(35 = \sqrt{961} + 4 \)
\(36 = \frac{ 16 }{ 4 } \cdot 9 \)
\(37 = \sqrt{169} + 4 !\)
\(38 = ( 6 - 4 ) \cdot 19 \)
\(39 = 41 - \frac{ 6 }{ \sqrt{9 } }\)
\(40 = 6 \cdot 9 - 14 \)
\(41 = 16 \cdot \sqrt{4} + 9 \)
\(42 = ( 9 - 6 ) \cdot 14 \)
\(43 = 4 \cdot 6 + 19 \)
\(44 = 41 - 6 + 9 \)
\(45 = 64 - 19 \)
\(46 = 1^{9} \cdot 46 \)
\(47 = 1^{9} + 46 \)
\(48 = 49 - 1^{6 }\)
\(49 = \frac{ 196 }{ 4 }\)
\(50 = 1^{6} + 49 \)
\(51 = \sqrt{\sqrt{16}} + 49 \)
\(52 = \sqrt{169} \cdot 4 \)
\(53 = \sqrt{16} + 49 \)
\(54 = 61 - \sqrt{49 }\)
\(55 = 69 - 14 \)
\(56 = \sqrt{196} \cdot 4 \)
\(57 = \frac{ 19 \cdot 6 }{ \sqrt{4 } }\)
\(58 = 1 \cdot 6 \cdot 9 + 4 \)
\(59 = 6 \cdot \sqrt{9} + 41 \)
\(60 = ( 14 + 6 ) \cdot \sqrt{9 }\)
\(61 = 16 \cdot 4 - \sqrt{9 }\)
\(62 = \sqrt{961 \cdot 4 }\)
\(63 = 64 - 1^{9 }\)
\(64 = 1^{9} \cdot 64 \)
\(65 = 16 + 49 \)
\(66 = 61 - 4 + 9 \)
\(67 = 91 - 4 \cdot 6 \)
\(68 = \sqrt{49} + 61 \)
\(69 = 1^{4} \cdot 69 \)
\(70 = 19 \cdot 4 - 6 \)
\(71 = ( 6 - 1 )! - 49 \)
\(72 = ( 14 - 6 ) \cdot 9 \)
\(73 = 16 \cdot 4 + 9 \)
\(74 = 61 + 4 + 9 \)
\(75 = 14 \cdot 6 - 9 \)
\(76 = ( 16 + \sqrt{9} ) \cdot 4 \)
\(77 = ( 4 + 9 ) \cdot 6 - 1 \)
\(78 = 94 - 16 \)
\(79 = \sqrt{4} \cdot 9 + 61 \)
\(80 = ( 9 - 4 ) \cdot 16 \)
\(81 = 91 - 4 - 6 \)
\(82 = 96 - 14 \)
\(83 = 14 + 69 \)
\(84 = ( 9 - 6 )! \cdot 14 \)
\(85 = 9^{\sqrt{\sqrt{16}}} + 4 \)
\(86 = 9^{\sqrt{4}} - 1 + 6 \)
\(87 = 94 - 1 - 6 \)
\(88 = 94 \cdot 1 - 6 \)
\(89 = 91 + 4 - 6 \)
\(90 = 94 - \sqrt{16 }\)
\(91 = 96 - 1 - 4 \)
\(92 = 96 \cdot 1 - 4 \)
\(93 = 14 \cdot 6 + 9 \)
\(94 = 1^{6} \cdot 94 \)
\(95 = 6 \cdot 9 + 41 \)
\(96 = 1^{4} \cdot 96 \)
\(97 = 4 \cdot 9 + 61 \)
\(98 = \frac{ 196 }{ \sqrt{4 } }\)
\(99 = \sqrt{64} + 91 \)
\(100 = ( 16 + 9 ) \cdot 4 \)