2 8 8 9

All 100 targets have a solution.

\(1 = ( 9 - 8 )^{28 }\)
\(2 = \sqrt{92 - 88 }\)
\(3 = \sqrt{\sqrt{289} - 8 }\)
\(4 = 92 - 88 \)
\(5 = \sqrt{\sqrt{289} + 8 }\)
\(6 = \sqrt{\sqrt{289} - 8 }!\)
\(7 = 89 - 82 \)
\(8 = \frac{ 88 }{ 2 + 9 }\)
\(9 = \sqrt{289} - 8 \)
\(10 = \frac{ 82 + 8 }{ 9 }\)
\(11 = 28 - 8 - 9 \)
\(12 = \frac{ 98 - 2 }{ 8 }\)
\(13 = 29 - 8 - 8 \)
\(14 = \frac{ \sqrt{98 \cdot 8} }{ 2 }\)
\(15 = \sqrt{28 + 8} + 9 \)
\(16 = 98 - 82 \)
\(17 = 28 - 8 - \sqrt{9 }\)
\(18 = \sqrt{( 28 + 8 ) \cdot 9 }\)
\(19 = 2 \cdot 9 + \frac{ 8 }{ 8 }\)
\(20 = ( \frac{ 8 }{ 8 } + 9 ) \cdot 2 \)
\(21 = 29 - \sqrt{8 \cdot 8 }\)
\(22 = \sqrt{98 \cdot 2} + 8 \)
\(23 = 28 - 8 + \sqrt{9 }\)
\(24 = ( 92 - 88 )!\)
\(25 = \sqrt{289} + 8 \)
\(26 = \sqrt{98 \cdot 8} - 2 \)
\(27 = 28 + 8 - 9 \)
\(28 = ( 9 - 8 ) \cdot 28 \)
\(29 = 28 - 8 + 9 \)
\(30 = \sqrt{892 + 8 }\)
\(31 = \sqrt{\sqrt{8 + 8}} + 29 \)
\(32 = \frac{ 288 }{ 9 }\)
\(33 = 28 + 8 - \sqrt{9 }\)
\(34 = 98 - 8^{2 }\)
\(35 = 8 \cdot 8 - 29 \)
\(36 = ( 8 - \frac{ 8 }{ 2 } ) \cdot 9 \)
\(37 = \sqrt{8 \cdot 8} + 29 \)
\(38 = ( 8 - \sqrt{9} )! - 82 \)
\(39 = 28 + 8 + \sqrt{9 }\)
\(40 = ( 9 - \frac{ 8 }{ 2 } ) \cdot 8 \)
\(41 = \frac{ 98 }{ 2 } - 8 \)
\(42 = ( 8 + 9 ) \cdot 2 + 8 \)
\(43 = \frac{ \sqrt{9}!! }{ 8 + 8 } - 2 \)
\(44 = 8 \cdot 9 - 28 \)
\(45 = 28 + 8 + 9 \)
\(46 = ( 8 - 2 ) \cdot 9 - 8 \)
\(47 = \frac{ 88 }{ 2 } + \sqrt{9 }\)
\(48 = \frac{ 288 }{ \sqrt{9 }! }\)
\(49 = \frac{ 98 }{ \sqrt{\frac{ 8 }{ 2 }} }\)
\(50 = ( 8 + 8 + 9 ) \cdot 2 \)
\(51 = ( 8 - 2 ) \cdot 8 + \sqrt{9 }\)
\(52 = 8 \cdot \sqrt{9} + 28 \)
\(53 = \frac{ 88 }{ 2 } + 9 \)
\(54 = \sqrt{28 + 8} \cdot 9 \)
\(55 = 8^{\sqrt{\frac{ 8 }{ 2 }}} - 9 \)
\(56 = \sqrt{\frac{ 98 }{ 2 }} \cdot 8 \)
\(57 = \frac{ 98 }{ 2 } + 8 \)
\(58 = 82 - 8 \cdot \sqrt{9 }\)
\(59 = 88 - 29 \)
\(60 = ( 28 - 8 ) \cdot \sqrt{9 }\)
\(61 = 89 - 28 \)
\(62 = ( 8 - 2 ) \cdot 9 + 8 \)
\(63 = 8^{2} + 8 - 9 \)
\(64 = 8^{( 9 - 8 ) \cdot 2 }\)
\(65 = 82 - 8 - 9 \)
\(66 = 8 \cdot 9 + 2 - 8 \)
\(67 = 8^{\sqrt{\frac{ 8 }{ 2 }}} + \sqrt{9 }\)
\(68 = \frac{ ( 8 + 9 ) \cdot 8 }{ 2 }\)
\(69 = 8 \cdot 8 + 2 + \sqrt{9 }\)
\(70 = 98 - 28 \)
\(71 = 82 - 8 - \sqrt{9 }\)
\(72 = ( 2 \cdot 8 - 8 ) \cdot 9 \)
\(73 = 89 - 2 \cdot 8 \)
\(74 = 98 - ( \frac{ 8 }{ 2 } )!\)
\(75 = 8 \cdot 8 + 2 + 9 \)
\(76 = 92 - 8 - 8 \)
\(77 = 88 - 2 - 9 \)
\(78 = 8 \cdot 9 - 2 + 8 \)
\(79 = 89 - 2 - 8 \)
\(80 = 88 - 2^{\sqrt{9 }}\)
\(81 = 82 + 8 - 9 \)
\(82 = ( 9 - 8 ) \cdot 82 \)
\(83 = 82 - 8 + 9 \)
\(84 = 92 - \sqrt{8 \cdot 8 }\)
\(85 = 89 - \frac{ 8 }{ 2 }\)
\(86 = ( 8 + \sqrt{9} ) \cdot 8 - 2 \)
\(87 = 82 + 8 - \sqrt{9 }\)
\(88 = 98 - 2 - 8 \)
\(89 = 88 - 2 + \sqrt{9 }\)
\(90 = \sqrt{98^{2}} - 8 \)
\(91 = 92 - \frac{ 8 }{ 8 }\)
\(92 = \frac{ 828 }{ 9 }\)
\(93 = 8 \cdot 8 + 29 \)
\(94 = 98 - \frac{ 8 }{ 2 }\)
\(95 = 88 - 2 + 9 \)
\(96 = \frac{ 288 }{ \sqrt{9 } }\)
\(97 = \sqrt{88^{2}} + 9 \)
\(98 = \frac{ 882 }{ 9 }\)
\(99 = 82 + 8 + 9 \)
\(100 = 8 \cdot 9 + 28 \)