All 100 targets have a solution.
\(1 = ( 448 \cdot 0 )!\)
\(2 = \frac{ 40 }{ 4 } - 8 \)
\(3 = 4 - 48^{0 }\)
\(4 = 48 \cdot 0 + 4 \)
\(5 = 48^{0} + 4 \)
\(6 = \sqrt{80 - 44 }\)
\(7 = 8 - 44^{0 }\)
\(8 = 48 - 40 \)
\(9 = \frac{ 40 }{ 8 } + 4 \)
\(10 = \frac{ 40 }{ 8 - 4 }\)
\(11 = \frac{ 48 }{ 4 } - 0 !\)
\(12 = \frac{ 40 + 8 }{ 4 }\)
\(13 = \frac{ 48 }{ 4 } + 0 !\)
\(14 = \sqrt{40 - 4} + 8 \)
\(15 = 4 \cdot 4 - 8^{0 }\)
\(16 = \frac{ 80 }{ 4 } - 4 \)
\(17 = \frac{ 408 }{ 4 ! }\)
\(18 = \frac{ 40 }{ 4 } + 8 \)
\(19 = \frac{ 80 - 4 }{ 4 }\)
\(20 = \frac{ 480 }{ 4 ! }\)
\(21 = \sqrt{484} - 0 !\)
\(22 = \sqrt{480 + 4 }\)
\(23 = \sqrt{484} + 0 !\)
\(24 = \frac{ 80 }{ 4 } + 4 \)
\(25 = ( \frac{ 40 }{ 8 } )^{\sqrt{4 }}\)
\(26 = \frac{ 80 + 4! }{ 4 }\)
\(27 = 4 - 8^{0} + 4 !\)
\(28 = 40 - 4 - 8 \)
\(29 = \frac{ 40 }{ 8 } + 4 !\)
\(30 = 40 - \sqrt{4} - 8 \)
\(31 = 4 \cdot 8 - 4^{0 }\)
\(32 = \sqrt{4}^{\frac{ 40 }{ 8 }}\)
\(33 = 4^{0} + 4 \cdot 8 \)
\(34 = 40 + \sqrt{4} - 8 \)
\(35 = \frac{ 840 }{ 4 ! }\)
\(36 = 80 - 44 \)
\(37 = 40 - \frac{ 4! }{ 8 }\)
\(38 = 40 - \frac{ 8 }{ 4 }\)
\(39 = \frac{ 80 - \sqrt{4} }{ \sqrt{4 } }\)
\(40 = \sqrt{40^{\frac{ 8 }{ 4 }}}\)
\(41 = 44 - \sqrt{0! + 8 }\)
\(42 = \frac{ 8 }{ 4 } + 40 \)
\(43 = 44 - 8^{0 }\)
\(44 = 84 - 40 \)
\(45 = 8^{0} + 44 \)
\(46 = 40 - \sqrt{4} + 8 \)
\(47 = 48 - 4^{0 }\)
\(48 = 0 \cdot 4 + 48 \)
\(49 = 4^{0} + 48 \)
\(50 = 40 + \sqrt{4} + 8 \)
\(51 = 44 - 0! + 8 \)
\(52 = 40 + 4 + 8 \)
\(53 = 44 + 0! + 8 \)
\(54 = ( 4 - 0! )! + 48 \)
\(55 = \frac{ 440 }{ 8 }\)
\(56 = 40 + 4! - 8 \)
\(57 = 4 \cdot 8 + 0! + 4 !\)
\(58 = 80 - 4! + \sqrt{4 }\)
\(59 = 84 - 0! - 4 !\)
\(60 = 80 - 4! + 4 \)
\(61 = 84 + 0! - 4 !\)
\(62 = ( 4 \cdot 8 - 0! ) \cdot \sqrt{4 }\)
\(63 = ( 4 + 4 ) \cdot 8 - 0 !\)
\(64 = 80 - 4 \cdot 4 \)
\(65 = ( 4 + 4 ) \cdot 8 + 0 !\)
\(66 = ( 4 \cdot 8 + 0! ) \cdot \sqrt{4 }\)
\(67 = 8^{\sqrt{4}} - 0! + 4 \)
\(68 = 80 - \frac{ 4! }{ \sqrt{4 } }\)
\(69 = 8^{\sqrt{4}} + 0! + 4 \)
\(70 = \frac{ 8! }{ 4!^{0 + \sqrt{4 }} }\)
\(71 = 48 - 0! + 4 !\)
\(72 = 4 \cdot 8 + 40 \)
\(73 = 48 + 0! + 4 !\)
\(74 = 80 - 4 - \sqrt{4 }\)
\(75 = \frac{ ( 0! + 4! ) \cdot 4! }{ 8 }\)
\(76 = 80 - \sqrt{4 \cdot 4 }\)
\(77 = \sqrt{( 4 - 0! )^{8}} - 4 \)
\(78 = 80 - 4 + \sqrt{4 }\)
\(79 = 80 - \frac{ 4 }{ 4 }\)
\(80 = \frac{ 40 }{ 4 } \cdot 8 \)
\(81 = \frac{ 4 }{ 4 } + 80 \)
\(82 = 80 - \sqrt{4} + 4 \)
\(83 = 84 - 4^{0 }\)
\(84 = 0 \cdot 4 + 84 \)
\(85 = 4^{0} + 84 \)
\(86 = 80 + \sqrt{4} + 4 \)
\(87 = 84 - 0! + 4 \)
\(88 = 40 + 48 \)
\(89 = 84 + 0! + 4 \)
\(90 = \frac{ \sqrt{40 - 4}! }{ 8 }\)
\(91 = \frac{ ( \sqrt{4} + 4 )! }{ 8 } + 0 !\)
\(92 = \frac{ 4! }{ \sqrt{4} } + 80 \)
\(93 = 4 \cdot 4! - \sqrt{0! + 8 }\)
\(94 = ( 48 - 0! ) \cdot \sqrt{4 }\)
\(95 = 48 \cdot \sqrt{4} - 0 !\)
\(96 = 4 \cdot 4 + 80 \)
\(97 = 48 \cdot \sqrt{4} + 0 !\)
\(98 = ( 48 + 0! ) \cdot \sqrt{4 }\)
\(99 = ( \sqrt{4} + 8 )^{\sqrt{4}} - 0 !\)
\(100 = 80 - 4 + 4 !\)