All 100 targets have a solution.
\(1 = ( 488 \cdot 0 )!\)
\(2 = \sqrt{84 - 80 }\)
\(3 = 8 - \frac{ 40 }{ 8 }\)
\(4 = 84 - 80 \)
\(5 = 88^{0} + 4 \)
\(6 = \frac{ 40 + 8 }{ 8 }\)
\(7 = 8 - 48^{0 }\)
\(8 = 48 \cdot 0 + 8 \)
\(9 = 48^{0} + 8 \)
\(10 = \frac{ 40 }{ \sqrt{8 + 8 } }\)
\(11 = 4 - 8^{0} + 8 \)
\(12 = \frac{ 80 }{ 4 } - 8 \)
\(13 = \frac{ 40 }{ 8 } + 8 \)
\(14 = \frac{ 80 }{ 8 } + 4 \)
\(15 = \frac{ ( \frac{ 40 }{ 8 } )! }{ 8 }\)
\(16 = \sqrt{( 40 - 8 ) \cdot 8 }\)
\(17 = 4^{0} + 8 + 8 \)
\(18 = \frac{ 80 - 8 }{ 4 }\)
\(19 = 4 - 0! + 8 + 8 \)
\(20 = \sqrt{408 - 8 }\)
\(21 = \frac{ 88 }{ 4 } - 0 !\)
\(22 = \frac{ 80 + 8 }{ 4 }\)
\(23 = 4! - 88^{0 }\)
\(24 = ( 84 - 80 )!\)
\(25 = 88^{0} + 4 !\)
\(26 = ( 0! + 8 ) \cdot \sqrt{4} + 8 \)
\(27 = \frac{ ( 0! + 8 ) \cdot 4! }{ 8 }\)
\(28 = \frac{ 80 }{ 4 } + 8 \)
\(29 = \sqrt{\frac{ 8! }{ 48 } + 0 !}\)
\(30 = ( 8 - 0! + 8 ) \cdot \sqrt{4 }\)
\(31 = 4 \cdot 8 - 8^{0 }\)
\(32 = 80 - 48 \)
\(33 = 8^{0} + 4 \cdot 8 \)
\(34 = \frac{ 80 }{ 8 } + 4 !\)
\(35 = \sqrt{0! + 8} + 4 \cdot 8 \)
\(36 = 40 - \sqrt{8 + 8 }\)
\(37 = \sqrt{\sqrt{( 8 - \sqrt{4} )^{8}}} + 0 !\)
\(38 = 40 - \sqrt{\sqrt{8 + 8 }}\)
\(39 = 40 - \frac{ 8 }{ 8 }\)
\(40 = \frac{ 40 }{ 8 } \cdot 8 \)
\(41 = \frac{ 8 }{ 8 } + 40 \)
\(42 = \sqrt{\sqrt{8 + 8}} + 40 \)
\(43 = \frac{ 88 }{ \sqrt{4} } - 0 !\)
\(44 = \sqrt{8 + 8} + 40 \)
\(45 = 48 - \sqrt{0! + 8 }\)
\(46 = ( \sqrt{8 + 8}! - 0! ) \cdot \sqrt{4 }\)
\(47 = 48 - 8^{0 }\)
\(48 = 88 - 40 \)
\(49 = 8^{0} + 48 \)
\(50 = ( \sqrt{8 + 8}! + 0! ) \cdot \sqrt{4 }\)
\(51 = \frac{ 408 }{ 8 }\)
\(52 = ( 8 - 0! ) \cdot 8 - 4 \)
\(53 = \sqrt{\sqrt{( 8 - 0! )^{8}}} + 4 \)
\(54 = \sqrt{0! + 8}! + 48 \)
\(55 = 48 - 0! + 8 \)
\(56 = 40 + 8 + 8 \)
\(57 = 48 + 0! + 8 \)
\(58 = ( 8 - 0! ) \cdot 8 + \sqrt{4 }\)
\(59 = 8 \cdot 8 - 0! - 4 \)
\(60 = \frac{ 480 }{ 8 }\)
\(61 = 8 \cdot 8 + 0! - 4 \)
\(62 = ( 0 + 8 ) \cdot 8 - \sqrt{4 }\)
\(63 = 8 \cdot 8 - 4^{0 }\)
\(64 = 80 - 4! + 8 \)
\(65 = 4^{0} + 8 \cdot 8 \)
\(66 = ( 0 + 8 ) \cdot 8 + \sqrt{4 }\)
\(67 = 8 \cdot 8 - 0! + 4 \)
\(68 = 80 - 4 - 8 \)
\(69 = 8 \cdot 8 + 0! + 4 \)
\(70 = 80 - \sqrt{4} - 8 \)
\(71 = 8^{\sqrt{4}} - 0! + 8 \)
\(72 = ( 4^{0} + 8 ) \cdot 8 \)
\(73 = 8^{\sqrt{4}} + 0! + 8 \)
\(74 = 80 + \sqrt{4} - 8 \)
\(75 = 84 - 0! - 8 \)
\(76 = 80 + 4 - 8 \)
\(77 = 80 - \frac{ 4! }{ 8 }\)
\(78 = 80 - \frac{ 8 }{ 4 }\)
\(79 = ( \sqrt{4} + 8 ) \cdot 8 - 0 !\)
\(80 = \sqrt{80^{\frac{ 8 }{ 4 }}}\)
\(81 = 84 - \sqrt{0! + 8 }\)
\(82 = \frac{ 8 }{ 4 } + 80 \)
\(83 = 84 - 8^{0 }\)
\(84 = \frac{ 8! }{ 480 }\)
\(85 = 8^{0} + 84 \)
\(86 = 80 - \sqrt{4} + 8 \)
\(87 = 88 - 4^{0 }\)
\(88 = 0 \cdot 4 + 88 \)
\(89 = 4^{0} + 88 \)
\(90 = 80 + \sqrt{4} + 8 \)
\(91 = 84 - 0! + 8 \)
\(92 = 80 + 4 + 8 \)
\(93 = 84 + 0! + 8 \)
\(94 = ( 4 - 0! )! + 88 \)
\(95 = ( 4 + 8 ) \cdot 8 - 0 !\)
\(96 = 80 + 4! - 8 \)
\(97 = ( 4 + 8 ) \cdot 8 + 0 !\)
\(98 = \frac{ ( 4 - 0! )!! }{ 8 } + 8 \)
\(99 = \sqrt{\sqrt{( \sqrt{4} + 8 )^{8}}} - 0 !\)
\(100 = ( \frac{ 80 }{ 8 } )^{\sqrt{4 }}\)