1569

\(1 = \frac{ 15 - 6 }{ 9 }\) \(2 = 61 - 59 \) \(3 = \sqrt{\sqrt{196} - 5 }\) \(4 = \frac{ 15 + 9 }{ 6 }\)
\(5 = \frac{ 15 }{ 9 - 6 }\) \(6 = \sqrt{\sqrt{961} + 5 }\) \(7 = \sqrt{169 - 5 !}\) \(8 = \sqrt{169} - 5 \)
\(9 = \sqrt{196} - 5 \) \(10 = \frac{ 15 \cdot 6 }{ 9 }\) \(11 = 5 \cdot 6 - 19 \) \(12 = 15 + 6 - 9 \)
\(13 = 15 - \frac{ 6 }{ \sqrt{9 } }\) \(14 = \frac{ 61 + 9 }{ 5 }\) \(15 = \sqrt{( 6 + 9 ) \cdot 15 }\) \(16 = 61 - 5 \cdot 9 \)
\(17 = \sqrt{169 + 5 !}\) \(18 = 69 - 51 \) \(19 = \sqrt{196} + 5 \) \(20 = 16 - 5 + 9 \)
\(21 = ( 9 - 6 )! + 15 \) \(22 = \frac{ 61 + 5 }{ \sqrt{9 } }\) \(23 = \frac{ 51 }{ \sqrt{9} } + 6 \) \(24 = \frac{ 96 }{ 5 - 1 }\)
\(25 = ( 9 - \sqrt{16} ) \cdot 5 \) \(26 = 91 - 65 \) \(27 = \sqrt{15 - 6} \cdot 9 \) \(28 = \frac{ 56 }{ \sqrt{9} - 1 }\)
\(29 = 5 \cdot 9 - 16 \) \(30 = 15 + 6 + 9 \) \(31 = \sqrt{16} \cdot 9 - 5 \) \(32 = ( 5 - \sqrt{9} ) \cdot 16 \)
\(33 = 6 \cdot \sqrt{9} + 15 \) \(34 = 95 - 61 \) \(35 = 91 - 56 \) \(36 = \sqrt{961} + 5 \)
\(37 = 56 - 19 \) \(38 = 5 \cdot 6 - 1 + 9 \) \(39 = 6 \cdot 9 - 15 \) \(40 = ( 9 - 5 )! + 16 \)
\(41 = \sqrt{16} \cdot 9 + 5 \) \(42 = 51 - 6 - \sqrt{9 }\) \(43 = 59 - 16 \) \(44 = ( 1 + 6 ) \cdot 5 + 9 \)
\(45 = 96 - 51 \) \(46 = 65 - 19 \) \(47 = 56 \cdot 1 - 9 \) \(48 = 51 + 6 - 9 \)
\(49 = 169 - 5 !\) \(50 = 5! - 61 - 9 \) \(51 = 15 \cdot \sqrt{9} + 6 \) \(52 = \frac{ 156 }{ \sqrt{9 } }\)
\(53 = 59 \cdot 1 - 6 \) \(54 = 69 - 15 \) \(55 = \frac{ 165 }{ \sqrt{9 } }\) \(56 = 1^{9} \cdot 56 \)
\(57 = 1^{9} + 56 \) \(58 = 59 - 1^{6 }\) \(59 = 1^{6} \cdot 59 \) \(60 = 1^{6} + 59 \)
\(61 = 5 \cdot 9 + 16 \) \(62 = 65 \cdot 1 - \sqrt{9 }\) \(63 = \sqrt{16} + 59 \) \(64 = ( 9 - 5 ) \cdot 16 \)
\(65 = \sqrt{169} \cdot 5 \) \(66 = 51 + 6 + 9 \) \(67 = 65 - 1 + \sqrt{9 }\) \(68 = 69 - 1^{5 }\)
\(69 = 6 \cdot 9 + 15 \) \(70 = \sqrt{196} \cdot 5 \) \(71 = 16 \cdot 5 - 9 \) \(72 = ( 15 - \sqrt{9} ) \cdot 6 \)
\(73 = 65 - 1 + 9 \) \(74 = 65 \cdot 1 + 9 \) \(75 = 16 + 59 \) \(76 = 196 - 5 !\)
\(77 = 16 \cdot 5 - \sqrt{9 }\) \(78 = ( 5 - 1 + 9 ) \cdot 6 \) \(79 = 95 - 16 \) \(80 = 91 - 5 - 6 \)
\(81 = 96 - 15 \) \(82 = \sqrt{5 - 1} + \frac{ 6! }{ 9 }\) \(83 = \sqrt{16}! + 59 \) \(84 = 15 + 69 \)
\(85 = ( 9 - 5 )! + 61 \) \(86 = \frac{ 516 }{ \sqrt{9 }! }\) \(87 = 15 \cdot 6 - \sqrt{9 }\) \(88 = 95 - 1 - 6 \)
\(89 = 16 \cdot 5 + 9 \) \(90 = 91 + 5 - 6 \) \(91 = 95 - \sqrt{16 }\) \(92 = 91 - 5 + 6 \)
\(93 = 95 - \sqrt{\sqrt{16 }}\) \(94 = 95 - 1^{6 }\) \(95 = 1^{6} \cdot 95 \) \(96 = 1^{6} + 95 \)
\(97 = 1^{5} + 96 \) \(98 = \sqrt{5 - 1} + 96 \) \(99 = \sqrt{16} + 95 \) \(100 = 95 - 1 + 6 \)