99 of 100 targets have a solution.
\(1 = 16 - 6 - 9 \)
\(2 = \frac{ \sqrt{16 \cdot 9} }{ 6 }\)
\(3 = \sqrt{\frac{ 96 }{ 6 }} - 1 \)
\(4 = \frac{ 96 }{ \sqrt{16 }! }\)
\(5 = \sqrt{91 - 66 }\)
\(6 = \frac{ 96 }{ 16 }\)
\(7 = \sqrt{169} - 6 \)
\(8 = 69 - 61 \)
\(9 = 1 \cdot 6 - 6 + 9 \)
\(10 = \sqrt{\sqrt{16} + 96 }\)
\(11 = 6 - \sqrt{16} + 9 \)
\(12 = ( 9 - 6 ) \cdot \sqrt{16 }\)
\(13 = 16 + 6 - 9 \)
\(14 = \sqrt{916 - 6 !}\)
\(15 = \frac{ 96 }{ 6 } - 1 \)
\(16 = \frac{ 96 \cdot 1 }{ 6 }\)
\(17 = 6 \cdot 6 - 19 \)
\(18 = 19 - \frac{ 6 }{ 6 }\)
\(19 = \sqrt{169} + 6 \)
\(20 = \sqrt{196} + 6 \)
\(21 = \frac{ 66 }{ \sqrt{9} } - 1 \)
\(22 = ( 9 - 6 )! + 16 \)
\(23 = \frac{ 66 }{ \sqrt{9} } + 1 \)
\(24 = \frac{ 96 }{ \sqrt{16 } }\)
\(25 = 91 - 66 \)
\(26 = 6 \cdot 6 - 1 - 9 \)
\(27 = 1 \cdot 6 \cdot 6 - 9 \)
\(28 = 6 \cdot 6 + 1 - 9 \)
\(29 = 6! - 691 \)
\(30 = ( 16 - 6 ) \cdot \sqrt{9 }\)
\(31 = 16 + 6 + 9 \)
\(32 = \frac{ 16 \cdot 6 }{ \sqrt{9 } }\)
\(33 = \sqrt{16} \cdot 6 + 9 \)
\(34 = 6 \cdot \sqrt{9} + 16 \)
\(35 = 96 - 61 \)
\(36 = \frac{ 6! }{ 16 } - 9 \)
\(37 = \sqrt{961} + 6 \)
\(38 = 6 \cdot 9 - 16 \)
\(39 = ( 6 - 1 ) \cdot 6 + 9 \)
\(40 = 6 \cdot 6 + 1 + \sqrt{9 }\)
\(41 = \sqrt{961 + 6 !}\)
\(42 = ( 16 - 9 ) \cdot 6 \)
\(43 = 61 - 6 \cdot \sqrt{9 }\)
\(44 = 6 \cdot 6 - 1 + 9 \)
\(45 = 69 - \sqrt{16 }!\)
\(46 = 61 - 6 - 9 \)
\(47 = 66 - 19 \)
\(48 = ( 9 - 6 ) \cdot 16 \)
\(49 = 6 \cdot 9 + 1 - 6 \)
\(50 = 6 \cdot 9 - \sqrt{16 }\)
\(51 = ( 6 - 1 )! - 69 \)
\(52 = 61 - 6 - \sqrt{9 }\)
\(53 = 69 - 16 \)
\(54 = \frac{ 6! }{ 16 } + 9 \)
\(55 = 6 \cdot 6 + 19 \)
\(56 = 66 - 1 - 9 \)
\(57 = 66 \cdot 1 - 9 \)
\(58 = 61 + 6 - 9 \)
\(59 = 61 - \frac{ 6 }{ \sqrt{9 } }\)
\(60 = ( 6 + 9 ) \cdot \sqrt{16 }\)
\(61 = 6 \cdot 9 + 1 + 6 \)
\(62 = 69 - 1 - 6 \)
\(63 = 69 \cdot 1 - 6 \)
\(64 = 61 - 6 + 9 \)
\(65 = 69 - \sqrt{16 }\)
\(66 = 1^{9} \cdot 66 \)
\(67 = 1^{9} + 66 \)
\(68 = 69 - 1^{6 }\)
\(69 = 1^{6} \cdot 69 \)
\(70 = 6 \cdot 9 + 16 \)
\(71 = \sqrt{\sqrt{16}} + 69 \)
\(72 = 96 - \sqrt{16 }!\)
\(73 = \sqrt{16} + 69 \)
\(74 = 66 - 1 + 9 \)
\(75 = 66 \cdot 1 + 9 \)
\(76 = 61 + 6 + 9 \)
\(77 = ?\)
\(78 = \sqrt{169} \cdot 6 \)
\(79 = 91 - 6 - 6 \)
\(80 = 96 - 16 \)
\(81 = 9^{6 - \sqrt{16 }}\)
\(82 = \frac{ 6! }{ 9 } + \sqrt{\sqrt{16 }}\)
\(83 = \frac{ 9! }{ 6 \cdot 6! } - 1 \)
\(84 = \sqrt{196} \cdot 6 \)
\(85 = 16 + 69 \)
\(86 = \frac{ ( 1 \cdot 6 )! }{ 9 } + 6 \)
\(87 = 16 \cdot 6 - 9 \)
\(88 = \sqrt{\sqrt{9}^{6}} + 61 \)
\(89 = 96 - 1 - 6 \)
\(90 = ( 16 - 6 ) \cdot 9 \)
\(91 = 91 - 6 + 6 \)
\(92 = 96 - \sqrt{16 }\)
\(93 = \sqrt{16}! + 69 \)
\(94 = 96 - \sqrt{\sqrt{16 }}\)
\(95 = 96 - 1^{6 }\)
\(96 = 1^{6} \cdot 96 \)
\(97 = 1^{6} + 96 \)
\(98 = \sqrt{\sqrt{16}} + 96 \)
\(99 = 16 \cdot 6 + \sqrt{9 }\)
\(100 = \sqrt{16} + 96 \)