2 4 8 9

All 100 targets have a solution.

\(1 = ( 9 - 8 )^{24 }\)
\(2 = 9 - \frac{ 28 }{ 4 }\)
\(3 = \frac{ 9 }{ \frac{ 24 }{ 8 } }\)
\(4 = \frac{ 28 }{ \sqrt{49 } }\)
\(5 = 9 - \sqrt{24 - 8 }\)
\(6 = 9 - \frac{ 24 }{ 8 }\)
\(7 = 24 - 8 - 9 \)
\(8 = 92 - 84 \)
\(9 = \frac{ 24 }{ 8 } \cdot \sqrt{9 }\)
\(10 = \frac{ 28 }{ 4 } + \sqrt{9 }\)
\(11 = \frac{ 92 - 4 }{ 8 }\)
\(12 = 94 - 82 \)
\(13 = \sqrt{289} - 4 \)
\(14 = \sqrt{28 \cdot \sqrt{49 }}\)
\(15 = 28 - 4 - 9 \)
\(16 = \frac{ 28 }{ 4 } + 9 \)
\(17 = 29 - 4 - 8 \)
\(18 = 42 - 8 \cdot \sqrt{9 }\)
\(19 = 48 - 29 \)
\(20 = \sqrt{( 92 + 8 ) \cdot 4 }\)
\(21 = 49 - 28 \)
\(22 = \sqrt{492 - 8 }\)
\(23 = 24 + 8 - 9 \)
\(24 = ( 9 - 8 ) \cdot 24 \)
\(25 = 24 - 8 + 9 \)
\(26 = 29 - \frac{ 4! }{ 8 }\)
\(27 = \frac{ 24 }{ 8 } \cdot 9 \)
\(28 = ( 4 - \sqrt{9} ) \cdot 28 \)
\(29 = 24 + 8 - \sqrt{9 }\)
\(30 = 8 \cdot 9 - 42 \)
\(31 = \frac{ 8 }{ 4 } + 29 \)
\(32 = \frac{ 4! }{ 8 } + 29 \)
\(33 = 82 - 49 \)
\(34 = \sqrt{289 \cdot 4 }\)
\(35 = 28 + \sqrt{49 }\)
\(36 = \sqrt{24 - 8} \cdot 9 \)
\(37 = 48 - 2 - 9 \)
\(38 = ( 28 - 9 ) \cdot \sqrt{4 }\)
\(39 = 49 - 2 - 8 \)
\(40 = 4 \cdot \sqrt{9} + 28 \)
\(41 = 24 + 8 + 9 \)
\(42 = ( 9 - 8 ) \cdot 42 \)
\(43 = 42 - 8 + 9 \)
\(44 = 92 - 48 \)
\(45 = 49 - \frac{ 8 }{ 2 }\)
\(46 = 82 - 4 \cdot 9 \)
\(47 = 89 - 42 \)
\(48 = 8 \cdot 9 - 24 \)
\(49 = \frac{ 98 \cdot 2 }{ 4 }\)
\(50 = 29 \cdot \sqrt{4} - 8 \)
\(51 = \frac{ 84 }{ 2 } + 9 \)
\(52 = ( 2 + 9 ) \cdot 4 + 8 \)
\(53 = \frac{ 8 }{ 2 } + 49 \)
\(54 = ( \frac{ 24 }{ 8 } )! \cdot 9 \)
\(55 = 84 - 29 \)
\(56 = 98 - 42 \)
\(57 = \sqrt{48^{2}} + 9 \)
\(58 = \frac{ 29 \cdot 8 }{ 4 }\)
\(59 = 42 + 8 + 9 \)
\(60 = 92 - 4 \cdot 8 \)
\(61 = 4 \cdot 8 + 29 \)
\(62 = ( 2 + 4 ) \cdot 9 + 8 \)
\(63 = \frac{ 28 }{ 4 } \cdot 9 \)
\(64 = 4 \cdot 9 + 28 \)
\(65 = 89 - 24 \)
\(66 = 94 - 28 \)
\(67 = 82 - 4! + 9 \)
\(68 = \sqrt{289} \cdot 4 \)
\(69 = 82 - 4 - 9 \)
\(70 = ( 2 + 8 ) \cdot \sqrt{49 }\)
\(71 = 8^{2} + \sqrt{49 }\)
\(72 = ( 28 - 4 ) \cdot \sqrt{9 }\)
\(73 = 84 - 2 - 9 \)
\(74 = 98 - 24 \)
\(75 = 82 - \sqrt{49 }\)
\(76 = ( 28 - 9 ) \cdot 4 \)
\(77 = 28 + 49 \)
\(78 = ( 48 - 9 ) \cdot 2 \)
\(79 = 84 - 2 - \sqrt{9 }\)
\(80 = 92 - 4 - 8 \)
\(81 = 89 - 2 \cdot 4 \)
\(82 = ( 49 - 8 ) \cdot 2 \)
\(83 = 89 - 2 - 4 \)
\(84 = ( 29 - 8 ) \cdot 4 \)
\(85 = 84 - 2 + \sqrt{9 }\)
\(86 = 92 + \sqrt{4} - 8 \)
\(87 = 48 \cdot 2 - 9 \)
\(88 = 92 + 4 - 8 \)
\(89 = \sqrt{49} + 82 \)
\(90 = 49 \cdot 2 - 8 \)
\(91 = 84 - 2 + 9 \)
\(92 = 98 - 2 - 4 \)
\(93 = 8^{\sqrt{4}} + 29 \)
\(94 = \frac{ 8 }{ 4 } + 92 \)
\(95 = 82 + 4 + 9 \)
\(96 = 8 \cdot 9 + 24 \)
\(97 = 2 \cdot 4 + 89 \)
\(98 = \frac{ 8 }{ 2 } + 94 \)
\(99 = 48 \cdot 2 + \sqrt{9 }\)
\(100 = 94 - 2 + 8 \)