4 8 8 9

All 100 targets have a solution.

\(1 = 49^{8 - 8 }\)
\(2 = \frac{ \frac{ 48 }{ 8 } }{ \sqrt{9 } }\)
\(3 = 9 - \frac{ 48 }{ 8 }\)
\(4 = 9 - ( \frac{ 8 }{ 8 } + 4 )\)
\(5 = 89 - 84 \)
\(6 = 94 - 88 \)
\(7 = \sqrt{48 - 8 + 9 }\)
\(8 = \frac{ 48 }{ \sqrt{9} } - 8 \)
\(9 = \sqrt{88 - \sqrt{49 }}\)
\(10 = \frac{ 88 + \sqrt{4} }{ 9 }\)
\(11 = \sqrt{4 \cdot 8 + 89 }\)
\(12 = 84 - 8 \cdot 9 \)
\(13 = \frac{ 88 }{ 4 } - 9 \)
\(14 = 98 - 84 \)
\(15 = \frac{ 48 }{ 8 } + 9 \)
\(16 = \frac{ 8 \cdot 9 - 8 }{ 4 }\)
\(17 = \sqrt{84 - \sqrt{9}} + 8 \)
\(18 = \frac{ 48 }{ 8 } \cdot \sqrt{9 }\)
\(19 = \frac{ 88 }{ 4 } - \sqrt{9 }\)
\(20 = \sqrt{49 \cdot 8 + 8 }\)
\(21 = 8 - 4 + 8 + 9 \)
\(22 = \frac{ 84 }{ \sqrt{9}! } + 8 \)
\(23 = \sqrt{49} + 8 + 8 \)
\(24 = 8 \cdot 9 - 48 \)
\(25 = \frac{ 88 }{ 4 } + \sqrt{9 }\)
\(26 = \frac{ 8 }{ 4 } \cdot 9 + 8 \)
\(27 = ( 4 - \frac{ 8 }{ 8 } ) \cdot 9 \)
\(28 = \sqrt{( 8 + 8 ) \cdot 49 }\)
\(29 = \sqrt{849 - 8 }\)
\(30 = \sqrt{898 + \sqrt{4 }}\)
\(31 = 48 - 8 - 9 \)
\(32 = ( 9 - 4 )! - 88 \)
\(33 = 49 - 8 - 8 \)
\(34 = 98 - 8^{\sqrt{4 }}\)
\(35 = \frac{ 88 }{ \sqrt{4} } - 9 \)
\(36 = \frac{ 84 }{ \sqrt{9} } + 8 \)
\(37 = 48 - 8 - \sqrt{9 }\)
\(38 = \frac{ 88 }{ \sqrt{4} } - \sqrt{9 }!\)
\(39 = 88 - 49 \)
\(40 = ( 9 - ( 8 - 4 ) ) \cdot 8 \)
\(41 = 89 - 48 \)
\(42 = \frac{ 84 }{ 8 - \sqrt{9 }! }\)
\(43 = 48 - 8 + \sqrt{9 }\)
\(44 = ( 8 - 4 ) \cdot 9 + 8 \)
\(45 = 49 - \sqrt{8 + 8 }\)
\(46 = 48 - 8 + \sqrt{9 }!\)
\(47 = 48 + 8 - 9 \)
\(48 = ( 9 - 8 ) \cdot 48 \)
\(49 = 48 - 8 + 9 \)
\(50 = 98 - 48 \)
\(51 = 8 \cdot 8 - 4 - 9 \)
\(52 = 88 - 4 \cdot 9 \)
\(53 = 48 + 8 - \sqrt{9 }\)
\(54 = \frac{ 48 }{ 8 } \cdot 9 \)
\(55 = 88 - 4! - 9 \)
\(56 = \sqrt{49 \cdot 8 \cdot 8 }\)
\(57 = 89 - 4 \cdot 8 \)
\(58 = 8 \cdot 8 - \sqrt{4 \cdot 9 }\)
\(59 = 48 + 8 + \sqrt{9 }\)
\(60 = 84 - 8 \cdot \sqrt{9 }\)
\(61 = 88 - 4! - \sqrt{9 }\)
\(62 = 48 + 8 + \sqrt{9 }!\)
\(63 = \frac{ 84 \cdot \sqrt{9}! }{ 8 }\)
\(64 = \sqrt{49} \cdot 8 + 8 \)
\(65 = 48 + 8 + 9 \)
\(66 = 98 - 4 \cdot 8 \)
\(67 = 84 - 8 - 9 \)
\(68 = 8 \cdot 9 + 4 - 8 \)
\(69 = 8 \cdot 8 - 4 + 9 \)
\(70 = 88 - \sqrt{4} \cdot 9 \)
\(71 = 8 \cdot 8 + \sqrt{49 }\)
\(72 = 8 \cdot \sqrt{9} + 48 \)
\(73 = 84 - 8 - \sqrt{9 }\)
\(74 = 98 - ( 8 - 4 )!\)
\(75 = 88 - 4 - 9 \)
\(76 = 88 - 4 \cdot \sqrt{9 }\)
\(77 = 89 - 4 - 8 \)
\(78 = 94 - 8 - 8 \)
\(79 = 84 - 8 + \sqrt{9 }\)
\(80 = \frac{ ( \frac{ 48 }{ 8 } )! }{ 9 }\)
\(81 = 88 - \sqrt{49 }\)
\(82 = 88 - \sqrt{4 \cdot 9 }\)
\(83 = 84 + 8 - 9 \)
\(84 = ( 9 - 8 ) \cdot 84 \)
\(85 = 84 - 8 + 9 \)
\(86 = 98 - 4 - 8 \)
\(87 = 89 - \frac{ 8 }{ 4 }\)
\(88 = ( 4 - \sqrt{9} ) \cdot 88 \)
\(89 = 84 + 8 - \sqrt{9 }\)
\(90 = 94 - \sqrt{8 + 8 }\)
\(91 = \frac{ 8 }{ 4 } + 89 \)
\(92 = \frac{ 4! }{ 8 } + 89 \)
\(93 = 88 - 4 + 9 \)
\(94 = 94 - 8 + 8 \)
\(95 = \sqrt{49} + 88 \)
\(96 = 98 - \frac{ 8 }{ 4 }\)
\(97 = \sqrt{88^{\sqrt{4}}} + 9 \)
\(98 = \sqrt{8 + 8} + 94 \)
\(99 = 88 + \sqrt{4} + 9 \)
\(100 = \frac{ 8 }{ 4 } + 98 \)