99 of 100 targets have a solution.
\(1 = 55 - 6 \cdot 9 \)
\(2 = 9 - \sqrt{55 - 6 }\)
\(3 = 59 - 56 \)
\(4 = \frac{ 56 }{ 5 + 9 }\)
\(5 = \sqrt{\frac{ 95 }{ 5 } + 6 }\)
\(6 = 65 - 59 \)
\(7 = \frac{ 56 }{ 5 + \sqrt{9 } }\)
\(8 = \frac{ 6! }{ 95 - 5 }\)
\(9 = \frac{ 59 - 5 }{ 6 }\)
\(10 = \frac{ 65 }{ 5 } - \sqrt{9 }\)
\(11 = 56 - 5 \cdot 9 \)
\(12 = ( 5 + 5 - 6 ) \cdot \sqrt{9 }\)
\(13 = \frac{ 56 + 9 }{ 5 }\)
\(14 = 69 - 55 \)
\(15 = \frac{ 95 - 5 }{ 6 }\)
\(16 = \sqrt{55 - 6} + 9 \)
\(17 = \frac{ 56 - 5 }{ \sqrt{9 } }\)
\(18 = \sqrt{( 59 - 5 ) \cdot 6 }\)
\(19 = 5! - 95 - 6 \)
\(20 = 65 - 5 \cdot 9 \)
\(21 = \sqrt{( 55 - 6 ) \cdot 9 }\)
\(22 = \frac{ 65 }{ 5 } + 9 \)
\(23 = ( 9 - 5 )! + 5 - 6 \)
\(24 = ( \frac{ 56 }{ 5 + 9 } )!\)
\(25 = \frac{ 95 }{ 5 } + 6 \)
\(26 = 5 \cdot 6 + 5 - 9 \)
\(27 = \frac{ 5! }{ 5 } - 6 + 9 \)
\(28 = \frac{ 56 }{ 5 - \sqrt{9 } }\)
\(29 = 59 - 5 \cdot 6 \)
\(30 = 95 - 65 \)
\(31 = \sqrt{955 + 6 }\)
\(32 = 56 - ( 9 - 5 )!\)
\(33 = ( 5 + 5 - 6 )! + 9 \)
\(34 = 5 \cdot 6 - 5 + 9 \)
\(35 = 65 - 5 \cdot \sqrt{9 }!\)
\(36 = ( 5 + 5 - 6 ) \cdot 9 \)
\(37 = 55 - 6 \cdot \sqrt{9 }\)
\(38 = 5 \cdot 6 + 5 + \sqrt{9 }\)
\(39 = 95 - 56 \)
\(40 = 55 - 6 - 9 \)
\(41 = 96 - 55 \)
\(42 = 56 - 5 - 9 \)
\(43 = 55 - 6 - \sqrt{9 }!\)
\(44 = 69 - 5 \cdot 5 \)
\(45 = 69 - \frac{ 5! }{ 5 }\)
\(46 = 55 - 6 - \sqrt{9 }\)
\(47 = 59 - \sqrt{\frac{ 6! }{ 5 }}\)
\(48 = 59 - 5 - 6 \)
\(49 = 55 - ( 9 - 6 )!\)
\(50 = 65 - 5 \cdot \sqrt{9 }\)
\(51 = 65 - 5 - 9 \)
\(52 = 55 + 6 - 9 \)
\(53 = 55 - \frac{ 6 }{ \sqrt{9 } }\)
\(54 = 56 - 5 + \sqrt{9 }\)
\(55 = 5! - 56 - 9 \)
\(56 = 5! - 69 + 5 \)
\(57 = \frac{ 6 }{ \sqrt{9} } + 55 \)
\(58 = 55 - 6 + 9 \)
\(59 = ( 6 - 5 ) \cdot 59 \)
\(60 = 56 - 5 + 9 \)
\(61 = 65 + 5 - 9 \)
\(62 = \frac{ \sqrt{9}!! }{ 5! } + 56 \)
\(63 = \sqrt{55 - 6} \cdot 9 \)
\(64 = 55 + 6 + \sqrt{9 }\)
\(65 = 95 - 5 \cdot 6 \)
\(66 = \sqrt{5^{6}} - 59 \)
\(67 = 5! - 59 + 6 \)
\(68 = 69 - \frac{ 5 }{ 5 }\)
\(69 = 65 - 5 + 9 \)
\(70 = 55 + 6 + 9 \)
\(71 = 96 - 5 \cdot 5 \)
\(72 = 96 - \frac{ 5! }{ 5 }\)
\(73 = 6 \cdot \sqrt{9} + 55 \)
\(74 = \sqrt{5 \cdot 5} + 69 \)
\(75 = 95 - \frac{ 5! }{ 6 }\)
\(76 = ( 5 + 9 ) \cdot 5 + 6 \)
\(77 = \sqrt{\frac{ \sqrt{9}!! }{ 5 }} + 65 \)
\(78 = \frac{ 65 }{ 5 } \cdot \sqrt{9 }!\)
\(79 = 65 + 5 + 9 \)
\(80 = ( 9 - 5 )! + 56 \)
\(81 = 9^{\sqrt{5 + 5 - 6 }}\)
\(82 = \sqrt{\sqrt{9}^{6}} + 55 \)
\(83 = 95 - \sqrt{\frac{ 6! }{ 5 }}\)
\(84 = 95 - 5 - 6 \)
\(85 = \frac{ 6! }{ 5 } - 59 \)
\(86 = 96 - 5 - 5 \)
\(87 = 5! - 5 \cdot 6 - \sqrt{9 }\)
\(88 = ( 5 + 6 ) \cdot ( 5 + \sqrt{9 } )\)
\(89 = 5 \cdot 6 + 59 \)
\(90 = \frac{ 6! }{ \sqrt{55 + 9 } }\)
\(91 = 96 - \sqrt{5 \cdot 5 }\)
\(92 = ?\)
\(93 = \frac{ 5! }{ 5 } + 69 \)
\(94 = 5 \cdot 5 + 69 \)
\(95 = ( 6 - 5 ) \cdot 95 \)
\(96 = 95 - 5 + 6 \)
\(97 = \frac{ 5 }{ 5 } + 96 \)
\(98 = 5! - ( \sqrt{\sqrt{9}^{6}} - 5 )\)
\(99 = ( \sqrt{5 \cdot 5} + 6 ) \cdot 9 \)
\(100 = ( 5 + 6 + 9 ) \cdot 5 \)