All 100 targets have a solution.
\(1 = 9 - \frac{ 56 }{ 7 }\)
\(2 = 65 - 7 \cdot 9 \)
\(3 = 57 - 6 \cdot 9 \)
\(4 = \frac{ \sqrt{576} }{ \sqrt{9 }! }\)
\(5 = \frac{ 75 }{ 6 + 9 }\)
\(6 = 75 - 69 \)
\(7 = \frac{ 56 + 7 }{ 9 }\)
\(8 = 67 - 59 \)
\(9 = \frac{ 75 + 6 }{ 9 }\)
\(10 = \frac{ \frac{ 7! }{ 56 } }{ 9 }\)
\(11 = \frac{ 57 + 9 }{ 6 }\)
\(12 = 69 - 57 \)
\(13 = \frac{ 96 - 5 }{ 7 }\)
\(14 = 79 - 65 \)
\(15 = \sqrt{576} - 9 \)
\(16 = \sqrt{56 - 7} + 9 \)
\(17 = 76 - 59 \)
\(18 = \sqrt{576} - \sqrt{9 }!\)
\(19 = 95 - 76 \)
\(20 = 5 \cdot 7 - 6 - 9 \)
\(21 = 96 - 75 \)
\(22 = 67 - 5 \cdot 9 \)
\(23 = 79 - 56 \)
\(24 = \sqrt{567 + 9 }\)
\(25 = \frac{ 75 }{ 9 - 6 }\)
\(26 = \sqrt{796 - 5 !}\)
\(27 = \sqrt{576} + \sqrt{9 }\)
\(28 = 95 - 67 \)
\(29 = 5! - 97 + 6 \)
\(30 = \sqrt{576} + \sqrt{9 }!\)
\(31 = 76 - 5 \cdot 9 \)
\(32 = 97 - 65 \)
\(33 = \sqrt{576} + 9 \)
\(34 = 69 - 5 \cdot 7 \)
\(35 = 56 - 7 \cdot \sqrt{9 }\)
\(36 = 756 - \sqrt{9 }!!\)
\(37 = 67 - 5 \cdot \sqrt{9 }!\)
\(38 = \frac{ 57 \cdot 6 }{ 9 }\)
\(39 = 96 - 57 \)
\(40 = 56 - 7 - 9 \)
\(41 = 97 - 56 \)
\(42 = 57 - 6 - 9 \)
\(43 = 67 - ( 9 - 5 )!\)
\(44 = 65 - 7 \cdot \sqrt{9 }\)
\(45 = \sqrt{675 \cdot \sqrt{9 }}\)
\(46 = 59 - 6 - 7 \)
\(47 = 5! - 79 + 6 \)
\(48 = \frac{ 96 }{ 7 - 5 }\)
\(49 = 65 - 7 - 9 \)
\(50 = \frac{ 75 \cdot 6 }{ 9 }\)
\(51 = 57 - ( 9 - 6 )!\)
\(52 = 56 - 7 + \sqrt{9 }\)
\(53 = 67 - 5 - 9 \)
\(54 = 56 + 7 - 9 \)
\(55 = 57 - \frac{ 6 }{ \sqrt{9 } }\)
\(56 = \sqrt{56^{9 - 7 }}\)
\(57 = 69 - 5 - 7 \)
\(58 = 56 - 7 + 9 \)
\(59 = ( 7 - 6 ) \cdot 59 \)
\(60 = 57 - 6 + 9 \)
\(61 = 96 - 5 \cdot 7 \)
\(62 = 76 - 5 - 9 \)
\(63 = \frac{ 567 }{ 9 }\)
\(64 = \frac{ 576 }{ 9 }\)
\(65 = \sqrt{65^{9 - 7 }}\)
\(66 = 56 + 7 + \sqrt{9 }\)
\(67 = 65 - 7 + 9 \)
\(68 = 79 - 5 - 6 \)
\(69 = 65 + 7 - \sqrt{9 }\)
\(70 = ( 6 - 5 + 9 ) \cdot 7 \)
\(71 = 67 - 5 + 9 \)
\(72 = \sqrt{576 \cdot 9 }\)
\(73 = \frac{ 657 }{ 9 }\)
\(74 = 76 - 5 + \sqrt{9 }\)
\(75 = \frac{ 675 }{ 9 }\)
\(76 = \frac{ 6 }{ \sqrt{9}! } + 75 \)
\(77 = 7 \cdot \sqrt{9} + 56 \)
\(78 = 75 - 6 + 9 \)
\(79 = ( 6 - 5 ) \cdot 79 \)
\(80 = 76 - 5 + 9 \)
\(81 = 65 + 7 + 9 \)
\(82 = 95 - 6 - 7 \)
\(83 = 5 \cdot 6 \cdot \sqrt{9} - 7 \)
\(84 = \frac{ 756 }{ 9 }\)
\(85 = \frac{ 765 }{ 9 }\)
\(86 = 97 - 5 - 6 \)
\(87 = \sqrt{7569 }\)
\(88 = 95 - \frac{ 7! }{ 6 ! }\)
\(89 = 5 \cdot 7 + 6 \cdot 9 \)
\(90 = 75 + 6 + 9 \)
\(91 = ( 9 - 5 )! + 67 \)
\(92 = ( 5 + 6 ) \cdot 9 - 7 \)
\(93 = 6 \cdot \sqrt{9} + 75 \)
\(94 = 95 + 6 - 7 \)
\(95 = ( 7 - 6 ) \cdot 95 \)
\(96 = \frac{ 576 }{ \sqrt{9 }! }\)
\(97 = ( 6 - 5 ) \cdot 97 \)
\(98 = 96 - 5 + 7 \)
\(99 = \frac{ 7! }{ 56 } + 9 \)
\(100 = ( 9 - 5 )! + 76 \)