All 100 targets have a solution.
\(1 = ( 348 \cdot 0 )!\)
\(2 = 40 - 38 \)
\(3 = 4 - 38^{0 }\)
\(4 = 38 \cdot 0 + 4 \)
\(5 = 38^{0} + 4 \)
\(6 = 30 - ( 8 - 4 )!\)
\(7 = 8 - 34^{0 }\)
\(8 = 34 \cdot 0 + 8 \)
\(9 = 34^{0} + 8 \)
\(10 = \frac{ 30 \cdot 8 }{ 4 ! }\)
\(11 = \frac{ 30 - 8 }{ \sqrt{4 } }\)
\(12 = \sqrt{( 40 + 8 ) \cdot 3 }\)
\(13 = 3^{0} + 4 + 8 \)
\(14 = 30 - 4! + 8 \)
\(15 = \frac{ 30 \cdot 4 }{ 8 }\)
\(16 = \frac{ 40 + 8 }{ 3 }\)
\(17 = \frac{ 80 }{ 4 } - 3 \)
\(18 = 48 - 30 \)
\(19 = \frac{ 30 + 8 }{ \sqrt{4 } }\)
\(20 = 30 - \sqrt{4} - 8 \)
\(21 = \frac{ 83 + 0! }{ 4 }\)
\(22 = \sqrt{483 + 0 !}\)
\(23 = \frac{ 80 }{ 4 } + 3 \)
\(24 = 30 + \sqrt{4} - 8 \)
\(25 = 34 - 0! - 8 \)
\(26 = 30 + 4 - 8 \)
\(27 = 30 - \frac{ 4! }{ 8 }\)
\(28 = 30 - \frac{ 8 }{ 4 }\)
\(29 = 40 - 3 - 8 \)
\(30 = \sqrt{30^{\frac{ 8 }{ 4 }}}\)
\(31 = 4 \cdot 8 - 3^{0 }\)
\(32 = \frac{ 8 }{ 4 } + 30 \)
\(33 = 34 - 8^{0 }\)
\(34 = 30 - 4 + 8 \)
\(35 = 8^{0} + 34 \)
\(36 = 30 - \sqrt{4} + 8 \)
\(37 = 80 - 43 \)
\(38 = \frac{ 304 }{ 8 }\)
\(39 = 4^{0} + 38 \)
\(40 = 30 + \sqrt{4} + 8 \)
\(41 = 34 - 0! + 8 \)
\(42 = 30 + 4 + 8 \)
\(43 = 83 - 40 \)
\(44 = 8^{0} + 43 \)
\(45 = 40 - 3 + 8 \)
\(46 = 80 - 34 \)
\(47 = 48 - 3^{0 }\)
\(48 = 0 \cdot 3 + 48 \)
\(49 = 3^{0} + 48 \)
\(50 = 43 - 0! + 8 \)
\(51 = 40 + 3 + 8 \)
\(52 = 30 \cdot \sqrt{4} - 8 \)
\(53 = 80 - 3 - 4 !\)
\(54 = 84 - 30 \)
\(55 = 48 + 0! + 3 !\)
\(56 = 80 - 3! \cdot 4 \)
\(57 = 4^{3} + 0! - 8 \)
\(58 = 83 - 0! - 4 !\)
\(59 = 80 + 3 - 4 !\)
\(60 = \frac{ 30 \cdot 8 }{ 4 }\)
\(61 = 38 - 0! + 4 !\)
\(62 = 4 \cdot 8 + 30 \)
\(63 = \frac{ ( 3 + 4 )! }{ 80 }\)
\(64 = 3 \cdot 8 + 40 \)
\(65 = 8^{0} + 4^{3 }\)
\(66 = 8^{3 - 0!} + \sqrt{4 }\)
\(67 = 8^{0 + \sqrt{4}} + 3 \)
\(68 = \frac{ 408 }{ 3 ! }\)
\(69 = ( 4! - 8^{0} ) \cdot 3 \)
\(70 = 80 - 3! - 4 \)
\(71 = 80 - 3^{\sqrt{4 }}\)
\(72 = 80 - \sqrt{4}^{3 }\)
\(73 = 80 - 3 - 4 \)
\(74 = 80 - 3 \cdot \sqrt{4 }\)
\(75 = 80 - 3 - \sqrt{4 }\)
\(76 = ( 30 + 8 ) \cdot \sqrt{4 }\)
\(77 = \frac{ 308 }{ 4 }\)
\(78 = 30 + 48 \)
\(79 = 80 + 3 - 4 \)
\(80 = \frac{ 480 }{ 3 ! }\)
\(81 = 80 - 3 + 4 \)
\(82 = 83 - 4^{0 }\)
\(83 = 0 \cdot 4 + 83 \)
\(84 = 4^{0} + 83 \)
\(85 = 3^{0} + 84 \)
\(86 = 3 \cdot \sqrt{4} + 80 \)
\(87 = 80 + 3 + 4 \)
\(88 = ( 30 - 8 ) \cdot 4 \)
\(89 = 3^{\sqrt{4}} + 80 \)
\(90 = \frac{ 30 \cdot 4! }{ 8 }\)
\(91 = 84 + 0! + 3 !\)
\(92 = 3 \cdot 4 + 80 \)
\(93 = ( 4 \cdot 8 - 0! ) \cdot 3 \)
\(94 = 8^{\sqrt{4}} + 30 \)
\(95 = \frac{ 380 }{ 4 }\)
\(96 = ( 40 - 8 ) \cdot 3 \)
\(97 = 3 \cdot 4 \cdot 8 + 0 !\)
\(98 = 80 - 3! + 4 !\)
\(99 = ( 4 \cdot 8 + 0! ) \cdot 3 \)
\(100 = \frac{ 3!! }{ 4 } - 80 \)