2 8 9 9

All 100 targets have a solution.

\(1 = 28^{9 - 9 }\)
\(2 = 9 - \sqrt{\frac{ 98 }{ 2 }}\)
\(3 = 92 - 89 \)
\(4 = \frac{ 29 + \sqrt{9} }{ 8 }\)
\(5 = 29 - 8 \cdot \sqrt{9 }\)
\(6 = 98 - 92 \)
\(7 = \frac{ 29 - 8 }{ \sqrt{9 } }\)
\(8 = \sqrt{289} - 9 \)
\(9 = \sqrt{82 - \frac{ 9 }{ 9 }}\)
\(10 = 28 - 9 - 9 \)
\(11 = \sqrt{289} - \sqrt{9 }!\)
\(12 = 29 - 8 - 9 \)
\(13 = \sqrt{89 \cdot 2 - 9 }\)
\(14 = \sqrt{289} - \sqrt{9 }\)
\(15 = 2 \cdot 8 - \frac{ 9 }{ 9 }\)
\(16 = 28 - 9 - \sqrt{9 }\)
\(17 = 99 - 82 \)
\(18 = 29 - 8 - \sqrt{9 }\)
\(19 = 28 - \sqrt{9 \cdot 9 }\)
\(20 = \sqrt{289} + \sqrt{9 }\)
\(21 = \sqrt{\frac{ 98 }{ 2 } \cdot 9 }\)
\(22 = 28 - 9 + \sqrt{9 }\)
\(23 = \sqrt{289} + \sqrt{9 }!\)
\(24 = 29 - 8 + \sqrt{9 }\)
\(25 = 28 - \frac{ 9 }{ \sqrt{9 } }\)
\(26 = \sqrt{289} + 9 \)
\(27 = 28 - \frac{ 9 }{ 9 }\)
\(28 = 28 - 9 + 9 \)
\(29 = \frac{ 9 }{ 9 } + 28 \)
\(30 = 29 - 8 + 9 \)
\(31 = \frac{ 9 }{ \sqrt{9} } + 28 \)
\(32 = \frac{ 98 - 2 }{ \sqrt{9 } }\)
\(33 = \sqrt{8^{2} \cdot 9} + 9 \)
\(34 = 28 - \sqrt{9} + 9 \)
\(35 = 99 - 8^{2 }\)
\(36 = \sqrt{2 \cdot 8 \cdot 9 \cdot 9 }\)
\(37 = \sqrt{9 \cdot 9} + 28 \)
\(38 = \frac{ 9! }{ 8! } + 29 \)
\(39 = ( \frac{ 8 }{ 2 } + 9 ) \cdot \sqrt{9 }\)
\(40 = \frac{ 89 - 9 }{ 2 }\)
\(41 = 2^{8 - \sqrt{9}} + 9 \)
\(42 = \sqrt{98 \cdot 2 \cdot 9 }\)
\(43 = 8 \cdot 9 - 29 \)
\(44 = ( 9 + 9 ) \cdot 2 + 8 \)
\(45 = ( 9 - \frac{ 8 }{ 2 } ) \cdot 9 \)
\(46 = 28 + 9 + 9 \)
\(47 = ( 9 - 2 ) \cdot 8 - 9 \)
\(48 = \frac{ 2 \cdot 8 \cdot 9 }{ \sqrt{9 } }\)
\(49 = \frac{ 89 + 9 }{ 2 }\)
\(50 = ( 9 - \sqrt{9} ) \cdot 8 + 2 \)
\(51 = \sqrt{289 \cdot 9 }\)
\(52 = \frac{ 98 }{ 2 } + \sqrt{9 }\)
\(53 = 9 \cdot 9 - 28 \)
\(54 = 8 \cdot 9 - 2 \cdot 9 \)
\(55 = \sqrt{9} \cdot 9 + 28 \)
\(56 = \frac{ 2^{9} - 8 }{ 9 }\)
\(57 = ( 28 - 9 ) \cdot \sqrt{9 }\)
\(58 = \frac{ 98 }{ 2 } + 9 \)
\(59 = ( 9 - 2 ) \cdot 8 + \sqrt{9 }\)
\(60 = 89 - 29 \)
\(61 = 8 \cdot 9 - 2 - 9 \)
\(62 = 98 - \sqrt{9}!^{2 }\)
\(63 = ( 29 - 8 ) \cdot \sqrt{9 }\)
\(64 = 82 - 9 - 9 \)
\(65 = ( 9 - 2 ) \cdot 8 + 9 \)
\(66 = ( 8 \cdot \sqrt{9} + 9 ) \cdot 2 \)
\(67 = 82 - 9 - \sqrt{9 }!\)
\(68 = 92 - 8 \cdot \sqrt{9 }\)
\(69 = 98 - 29 \)
\(70 = 82 - 9 - \sqrt{9 }\)
\(71 = 99 - 28 \)
\(72 = \frac{ 9^{2} \cdot 8 }{ 9 }\)
\(73 = 82 - \sqrt{9 \cdot 9 }\)
\(74 = \sqrt{9 \cdot 9} \cdot 8 + 2 \)
\(75 = 92 - 8 - 9 \)
\(76 = 82 - 9 + \sqrt{9 }\)
\(77 = 9 \cdot 9 - \frac{ 8 }{ 2 }\)
\(78 = 89 - 2 - 9 \)
\(79 = 29 \cdot \sqrt{9} - 8 \)
\(80 = 98 - 2 \cdot 9 \)
\(81 = 82 - \frac{ 9 }{ 9 }\)
\(82 = 82 - 9 + 9 \)
\(83 = \frac{ 9 }{ 9 } + 82 \)
\(84 = \frac{ 28 \cdot 9 }{ \sqrt{9 } }\)
\(85 = \frac{ 9 }{ \sqrt{9} } + 82 \)
\(86 = \sqrt{89^{2}} - \sqrt{9 }\)
\(87 = 98 - 2 - 9 \)
\(88 = 82 - \sqrt{9} + 9 \)
\(89 = 99 - 2 - 8 \)
\(90 = 89 - 2 + \sqrt{9 }\)
\(91 = 92 + 8 - 9 \)
\(92 = ( 9 - 8 ) \cdot 92 \)
\(93 = 92 - 8 + 9 \)
\(94 = 82 + \sqrt{9} + 9 \)
\(95 = 99 - \frac{ 8 }{ 2 }\)
\(96 = 89 - 2 + 9 \)
\(97 = 2^{\sqrt{9}} + 89 \)
\(98 = \sqrt{89^{2}} + 9 \)
\(99 = 98 - 2 + \sqrt{9 }\)
\(100 = 82 + 9 + 9 \)