All 100 targets have a solution.
\(1 = \frac{ 14 - 6 }{ 8 }\)
\(2 = \frac{ 8 }{ \frac{ 16 }{ 4 } }\)
\(3 = \frac{ 48 }{ 16 }\)
\(4 = 8 - \frac{ 16 }{ 4 }\)
\(5 = \frac{ 16 + 4! }{ 8 }\)
\(6 = ( \frac{ 48 }{ 16 } )!\)
\(7 = \frac{ 168 }{ 4 ! }\)
\(8 = \sqrt{16 + 48 }\)
\(9 = \frac{ 18 }{ 6 - 4 }\)
\(10 = 18 - \sqrt{64 }\)
\(11 = \sqrt{841 - 6 !}\)
\(12 = \frac{ 48 }{ \sqrt{16 } }\)
\(13 = 61 - 48 \)
\(14 = 16 - \frac{ 8 }{ 4 }\)
\(15 = \frac{ 84 }{ 6 } + 1 \)
\(16 = 14 - 6 + 8 \)
\(17 = 81 - 64 \)
\(18 = \frac{ 8 }{ 4 } + 16 \)
\(19 = \frac{ 4! }{ 8 } + 16 \)
\(20 = 16 - 4 + 8 \)
\(21 = \frac{ 84 }{ \sqrt{16 } }\)
\(22 = 16 - \sqrt{4} + 8 \)
\(23 = 84 - 61 \)
\(24 = \frac{ 48 }{ \sqrt{\sqrt{16 }} }\)
\(25 = 4 \cdot 8 - 1 - 6 \)
\(26 = 18 + \sqrt{64 }\)
\(27 = 68 - 41 \)
\(28 = 46 - 18 \)
\(29 = 61 - 4 \cdot 8 \)
\(30 = 18 \cdot \sqrt{4} - 6 \)
\(31 = 4 \cdot 6 - 1 + 8 \)
\(32 = 48 - 16 \)
\(33 = \frac{ 68 }{ \sqrt{4} } - 1 \)
\(34 = \frac{ 816 }{ 4 ! }\)
\(35 = 81 - 46 \)
\(36 = ( 14 - 8 ) \cdot 6 \)
\(37 = 46 - \sqrt{81 }\)
\(38 = 46 \cdot 1 - 8 \)
\(39 = 41 + 6 - 8 \)
\(40 = 16 \cdot \sqrt{4} + 8 \)
\(41 = 48 - 1 - 6 \)
\(42 = \frac{ 168 }{ 4 }\)
\(43 = 41 - 6 + 8 \)
\(44 = 48 - \sqrt{16 }\)
\(45 = 86 - 41 \)
\(46 = 64 - 18 \)
\(47 = 1^{8} + 46 \)
\(48 = 4 \cdot 8 + 16 \)
\(49 = 1^{6} + 48 \)
\(50 = \sqrt{\sqrt{16}} + 48 \)
\(51 = 61 - \sqrt{4} - 8 \)
\(52 = \frac{ 416 }{ 8 }\)
\(53 = 46 - 1 + 8 \)
\(54 = 68 - 14 \)
\(55 = 46 + \sqrt{81 }\)
\(56 = 16 \cdot 4 - 8 \)
\(57 = 61 + 4 - 8 \)
\(58 = 61 - \frac{ 4! }{ 8 }\)
\(59 = 61 - \frac{ 8 }{ 4 }\)
\(60 = 84 - \sqrt{16 }!\)
\(61 = 64 - \sqrt{\sqrt{81 }}\)
\(62 = 6 \cdot 8 + 14 \)
\(63 = \frac{ 8 }{ 4 } + 61 \)
\(64 = 16 + 48 \)
\(65 = 61 - 4 + 8 \)
\(66 = 18 \cdot 4 - 6 \)
\(67 = 68 - 1^{4 }\)
\(68 = 84 - 16 \)
\(69 = 1^{4} + 68 \)
\(70 = 68 \cdot 1 + \sqrt{4 }\)
\(71 = 64 - 1 + 8 \)
\(72 = 86 - 14 \)
\(73 = 81 - \sqrt{64 }\)
\(74 = ( 4 - 1 )! + 68 \)
\(75 = \sqrt{\sqrt{81}}^{4} - 6 \)
\(76 = 14 \cdot 6 - 8 \)
\(77 = 84 - 1 - 6 \)
\(78 = 18 \cdot 4 + 6 \)
\(79 = 81 + 4 - 6 \)
\(80 = 84 - \sqrt{16 }\)
\(81 = ( \frac{ 18 }{ 6 } )^{4 }\)
\(82 = 14 + 68 \)
\(83 = 81 - 4 + 6 \)
\(84 = \frac{ 168 }{ \sqrt{4 } }\)
\(85 = 1^{6} + 84 \)
\(86 = 1^{4} \cdot 86 \)
\(87 = 1^{4} + 86 \)
\(88 = \sqrt{16} + 84 \)
\(89 = \sqrt{64} + 81 \)
\(90 = 84 \cdot 1 + 6 \)
\(91 = 81 + 4 + 6 \)
\(92 = 14 \cdot 6 + 8 \)
\(93 = \frac{ 186 }{ \sqrt{4 } }\)
\(94 = 814 - 6 !\)
\(95 = \frac{ 6! }{ 8 } + 1 + 4 \)
\(96 = ( 16 - 4 ) \cdot 8 \)
\(97 = \frac{ 8! }{ 6! } + 41 \)
\(98 = ( 6 \cdot 8 + 1 ) \cdot \sqrt{4 }\)
\(99 = 81 + 4! - 6 \)
\(100 = 14 + 86 \)