0 5 8 9

All 100 targets have a solution.

\(1 = ( 589 \cdot 0 )!\)
\(2 = \sqrt{9} - 58^{0 }\)
\(3 = 58 \cdot 0 + \sqrt{9 }\)
\(4 = 5 - 89^{0 }\)
\(5 = 90 - 85 \)
\(6 = 89^{0} + 5 \)
\(7 = 8 - 59^{0 }\)
\(8 = 9 - 58^{0 }\)
\(9 = 58 \cdot 0 + 9 \)
\(10 = 58^{0} + 9 \)
\(11 = \sqrt{50 \cdot 8} - 9 \)
\(12 = \sqrt{\frac{ 80 }{ 5 } \cdot 9 }\)
\(13 = \sqrt{\frac{ 80 }{ 5 }} + 9 \)
\(14 = \sqrt{\frac{ 980 }{ 5 }}\)
\(15 = 95 - 80 \)
\(16 = 8 - 5^{0} + 9 \)
\(17 = 0 \cdot 5 + 8 + 9 \)
\(18 = \frac{ 89 + 0! }{ 5 }\)
\(19 = \frac{ 80 }{ 5 } + \sqrt{9 }\)
\(20 = \frac{ 80 }{ 9 - 5 }\)
\(21 = 80 - 59 \)
\(22 = 8 \cdot 9 - 50 \)
\(23 = \sqrt{50 \cdot 8} + \sqrt{9 }\)
\(24 = ( 5 - 89^{0 } )!\)
\(25 = \frac{ 80 }{ 5 } + 9 \)
\(26 = \frac{ 90 }{ 5 } + 8 \)
\(27 = ( 8 - ( 0 + 5 ) ) \cdot 9 \)
\(28 = \frac{ 85 - 0! }{ \sqrt{9 } }\)
\(29 = \sqrt{850 - 9 }\)
\(30 = \frac{ 90 }{ 8 - 5 }\)
\(31 = 5! - 80 - 9 \)
\(32 = 90 - 58 \)
\(33 = 50 - 8 - 9 \)
\(34 = 58 - ( 0! + \sqrt{9 } )!\)
\(35 = 80 - 5 \cdot 9 \)
\(36 = \sqrt{\frac{ 80 }{ 5 }} \cdot 9 \)
\(37 = ( 0 + 5 ) \cdot 9 - 8 \)
\(38 = 5! - 90 + 8 \)
\(39 = 89 - 50 \)
\(40 = \frac{ 80 }{ 5 - \sqrt{9 } }\)
\(41 = 9^{0} + 5 \cdot 8 \)
\(42 = ( 0! + 9 ) \cdot 5 - 8 \)
\(43 = 5! - 80 + \sqrt{9 }\)
\(44 = 5 \cdot 9 - 8^{0 }\)
\(45 = 50 - 8 + \sqrt{9 }\)
\(46 = 8^{0} + 5 \cdot 9 \)
\(47 = 50 - \sqrt{\frac{ 9! }{ 8 ! }}\)
\(48 = 98 - 50 \)
\(49 = 50 + 8 - 9 \)
\(50 = ( 9 - 8 ) \cdot 50 \)
\(51 = 50 - 8 + 9 \)
\(52 = 59 + 0! - 8 \)
\(53 = ( 0 + 5 ) \cdot 9 + 8 \)
\(54 = ( 8^{0} + 5 ) \cdot 9 \)
\(55 = 50 + 8 - \sqrt{9 }\)
\(56 = 80 - ( 9 - 5 )!\)
\(57 = 58 - 9^{0 }\)
\(58 = 0 \cdot 9 + 58 \)
\(59 = 9^{0} + 58 \)
\(60 = 8^{0} + 59 \)
\(61 = 50 + 8 + \sqrt{9 }\)
\(62 = 58 + 0! + \sqrt{9 }\)
\(63 = ( 8 - 5^{0} ) \cdot 9 \)
\(64 = ( 9 - 5^{0} ) \cdot 8 \)
\(65 = 80 - 5 \cdot \sqrt{9 }\)
\(66 = 80 - 5 - 9 \)
\(67 = 50 + 8 + 9 \)
\(68 = 58 + 0! + 9 \)
\(69 = 80 - 5 - \sqrt{9 }!\)
\(70 = \sqrt{980 \cdot 5 }\)
\(71 = 8 \cdot 9 - 5^{0 }\)
\(72 = 80 - 5 - \sqrt{9 }\)
\(73 = 5^{0} + 8 \cdot 9 \)
\(74 = 8 \cdot \sqrt{9} + 50 \)
\(75 = 85 - 0! - 9 \)
\(76 = 80 + 5 - 9 \)
\(77 = 90 - 5 - 8 \)
\(78 = 80 - 5 + \sqrt{9 }\)
\(79 = 80 + 5 - \sqrt{9 }!\)
\(80 = ( 5^{0} + 9 ) \cdot 8 \)
\(81 = ( 5^{0} + 8 ) \cdot 9 \)
\(82 = 80 + 5 - \sqrt{9 }\)
\(83 = 89 - 0! - 5 \)
\(84 = 80 - 5 + 9 \)
\(85 = 0 \cdot 9 + 85 \)
\(86 = 9^{0} + 85 \)
\(87 = 90 + 5 - 8 \)
\(88 = 89 - 5^{0 }\)
\(89 = 0 \cdot 5 + 89 \)
\(90 = 5^{0} + 89 \)
\(91 = 80 + 5 + \sqrt{9 }!\)
\(92 = 98 - 0! - 5 \)
\(93 = 90 - 5 + 8 \)
\(94 = 80 + 5 + 9 \)
\(95 = 0 \cdot 8 + 95 \)
\(96 = 8^{0} + 95 \)
\(97 = 98 - 5^{0 }\)
\(98 = 0 \cdot 5 + 98 \)
\(99 = 5^{0} + 98 \)
\(100 = ( 8 - \sqrt{9}! ) \cdot 50 \)