4 4 8 9

All 100 targets have a solution.

\(1 = 49 - 48 \)
\(2 = \sqrt{\frac{ 44 - 8 }{ 9 }}\)
\(3 = \frac{ 48 }{ 4 } - 9 \)
\(4 = \frac{ 44 - 8 }{ 9 }\)
\(5 = 8 - ( \sqrt{49} - 4 )\)
\(6 = ( \frac{ 48 }{ 4 } - 9 )!\)
\(7 = 9 - \frac{ 48 }{ 4 ! }\)
\(8 = \frac{ 48 + 4! }{ 9 }\)
\(9 = \frac{ 48 }{ 4 } - \sqrt{9 }\)
\(10 = 94 - 84 \)
\(11 = \frac{ 48 }{ 4! } + 9 \)
\(12 = \frac{ 84 }{ \sqrt{49 } }\)
\(13 = \sqrt{484} - 9 \)
\(14 = \frac{ \sqrt{49} \cdot 8 }{ 4 }\)
\(15 = \sqrt{44 - 8} + 9 \)
\(16 = 4^{\sqrt{9}} - 48 \)
\(17 = 49 - 4 \cdot 8 \)
\(18 = \sqrt{( 44 - 8 ) \cdot 9 }\)
\(19 = \sqrt{484} - \sqrt{9 }\)
\(20 = 44 - 8 \cdot \sqrt{9 }\)
\(21 = \sqrt{449 - 8 }\)
\(22 = \sqrt{49 \cdot 4} + 8 \)
\(23 = \frac{ 4^{4} }{ 8 } - 9 \)
\(24 = ( \frac{ 44 - 8 }{ 9 } )!\)
\(25 = \sqrt{484} + \sqrt{9 }\)
\(26 = \frac{ ( 4 + 9 ) \cdot 8 }{ 4 }\)
\(27 = 44 - 8 - 9 \)
\(28 = 8 \cdot 9 - 44 \)
\(29 = \sqrt{844 - \sqrt{9 }}\)
\(30 = \frac{ 84 }{ 4 } + 9 \)
\(31 = \sqrt{484} + 9 \)
\(32 = \frac{ 84 }{ \sqrt{9} } + 4 \)
\(33 = 44 - 8 - \sqrt{9 }\)
\(34 = 4 \cdot 9 - \frac{ 8 }{ 4 }\)
\(35 = 84 - 49 \)
\(36 = \frac{ 48 }{ 4 } \cdot \sqrt{9 }\)
\(37 = 49 - 4 - 8 \)
\(38 = \frac{ 8 }{ 4 } + 4 \cdot 9 \)
\(39 = 44 - 8 + \sqrt{9 }\)
\(40 = 4 \cdot 9 - 4 + 8 \)
\(41 = \frac{ 984 }{ 4 ! }\)
\(42 = 48 - \sqrt{4 \cdot 9 }\)
\(43 = 44 + 8 - 9 \)
\(44 = ( 9 - 8 ) \cdot 44 \)
\(45 = 89 - 44 \)
\(46 = 94 - 48 \)
\(47 = 49 - \frac{ 8 }{ 4 }\)
\(48 = 84 - 4 \cdot 9 \)
\(49 = 44 + 8 - \sqrt{9 }\)
\(50 = 48 - 4 + \sqrt{9 }!\)
\(51 = \frac{ 8 }{ 4 } + 49 \)
\(52 = \sqrt{49} \cdot 8 - 4 \)
\(53 = 48 - 4 + 9 \)
\(54 = 98 - 44 \)
\(55 = 48 + \sqrt{49 }\)
\(56 = ( 4 \cdot 4 - 9 ) \cdot 8 \)
\(57 = ( 4 + 8 ) \cdot 4 + 9 \)
\(58 = 44 + 8 + \sqrt{9 }!\)
\(59 = 48 + \sqrt{4} + 9 \)
\(60 = \frac{ \sqrt{49}! }{ 84 }\)
\(61 = 44 + 8 + 9 \)
\(62 = 94 - 4 \cdot 8 \)
\(63 = 48 + 4! - 9 \)
\(64 = \frac{ 48 \cdot 4 }{ \sqrt{9 } }\)
\(65 = 49 + 4! - 8 \)
\(66 = \sqrt{484 \cdot 9 }\)
\(67 = \sqrt{4489 }\)
\(68 = 8 \cdot \sqrt{9} + 44 \)
\(69 = 84 - 4! + 9 \)
\(70 = 94 - ( 8 - 4 )!\)
\(71 = 84 - 4 - 9 \)
\(72 = ( 9 - 4 )! - 48 \)
\(73 = 89 - 4 \cdot 4 \)
\(74 = 84 - 4 - \sqrt{9 }!\)
\(75 = 48 + 4! + \sqrt{9 }\)
\(76 = ( 8 - \sqrt{9} )! - 44 \)
\(77 = 84 - \sqrt{49 }\)
\(78 = ( 48 - 9 ) \cdot \sqrt{4 }\)
\(79 = 84 + 4 - 9 \)
\(80 = ( \frac{ 4 }{ 4 } + 9 ) \cdot 8 \)
\(81 = 4 \cdot 8 + 49 \)
\(82 = 94 - 4 - 8 \)
\(83 = 84 - 4 + \sqrt{9 }\)
\(84 = 4 \cdot 9 + 48 \)
\(85 = 84 + 4 - \sqrt{9 }\)
\(86 = 84 - 4 + \sqrt{9 }!\)
\(87 = 48 \cdot \sqrt{4} - 9 \)
\(88 = 89 - \frac{ 4 }{ 4 }\)
\(89 = 84 - 4 + 9 \)
\(90 = \frac{ 4 }{ 4 } + 89 \)
\(91 = \sqrt{49} + 84 \)
\(92 = 94 - \frac{ 8 }{ 4 }\)
\(93 = \sqrt{4 \cdot 4} + 89 \)
\(94 = \sqrt{94^{\frac{ 8 }{ 4 }}}\)
\(95 = 84 + \sqrt{4} + 9 \)
\(96 = \frac{ 8 }{ 4 } + 94 \)
\(97 = 48 + 49 \)
\(98 = \frac{ 49 \cdot 8 }{ 4 }\)
\(99 = \frac{ 4 }{ 4 } + 98 \)
\(100 = 94 - \sqrt{4} + 8 \)