1669

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