All 100 targets have a solution.
\(1 = \sqrt{289}^{0 }\)
\(2 = 89 \cdot 0 + 2 \)
\(3 = 20 - 8 - 9 \)
\(4 = \frac{ 20 - 8 }{ \sqrt{9 } }\)
\(5 = 9 - \frac{ 8 }{ 0 + 2 }\)
\(6 = ( 20 - 8 - 9 )!\)
\(7 = 8 - 29^{0 }\)
\(8 = 90 - 82 \)
\(9 = 28 \cdot 0 + 9 \)
\(10 = 28^{0} + 9 \)
\(11 = \frac{ 90 - 2 }{ 8 }\)
\(12 = 92 - 80 \)
\(13 = \sqrt{20 \cdot 8 + 9 }\)
\(14 = \sqrt{( 90 + 8 ) \cdot 2 }\)
\(15 = \frac{ 90 }{ 8 - 2 }\)
\(16 = \sqrt{289} - 0 !\)
\(17 = \sqrt{280 + 9 }\)
\(18 = \sqrt{289} + 0 !\)
\(19 = 20 + 8 - 9 \)
\(20 = ( 9 - 8 ) \cdot 20 \)
\(21 = 20 - 8 + 9 \)
\(22 = 29 + 0! - 8 \)
\(23 = ( 8 - 0! ) \cdot 2 + 9 \)
\(24 = ( 9^{0} + 2 ) \cdot 8 \)
\(25 = 20 + 8 - \sqrt{9 }\)
\(26 = 90 - 8^{2 }\)
\(27 = 28 - 9^{0 }\)
\(28 = 0 \cdot 9 + 28 \)
\(29 = 9^{0} + 28 \)
\(30 = 8^{0} + 29 \)
\(31 = \frac{ 80 }{ 2 } - 9 \)
\(32 = 28 + 0! + \sqrt{9 }\)
\(33 = ( \frac{ 8 }{ 0 + 2 } )! + 9 \)
\(34 = ( 0 + 8 + 9 ) \cdot 2 \)
\(35 = ( 0! + 2 ) \cdot 9 + 8 \)
\(36 = \sqrt{\frac{ 9! }{ 280 }}\)
\(37 = 20 + 8 + 9 \)
\(38 = 28 + 0! + 9 \)
\(39 = ( 0! + 2 )! \cdot 8 - 9 \)
\(40 = ( 8 - \sqrt{9}! ) \cdot 20 \)
\(41 = \frac{ 90 - 8 }{ 2 }\)
\(42 = ( 8 - 2^{0} ) \cdot \sqrt{9 }!\)
\(43 = \frac{ 80 }{ 2 } + \sqrt{9 }\)
\(44 = 8 \cdot \sqrt{9} + 20 \)
\(45 = \frac{ 89 + 0! }{ 2 }\)
\(46 = \frac{ 80 }{ 2 } + \sqrt{9 }!\)
\(47 = 2 \cdot 8 \cdot \sqrt{9} - 0 !\)
\(48 = \frac{ 98 }{ 2 } - 0 !\)
\(49 = \frac{ 80 }{ 2 } + 9 \)
\(50 = \frac{ 98 }{ 2 } + 0 !\)
\(51 = 80 - 29 \)
\(52 = 8 \cdot 9 - 20 \)
\(53 = \sqrt{2809 }\)
\(54 = ( 8 - ( 0 + 2 ) ) \cdot 9 \)
\(55 = 8^{0 + 2} - 9 \)
\(56 = ( 9 - ( 0 + 2 ) ) \cdot 8 \)
\(57 = ( 9 - 2 ) \cdot 8 + 0 !\)
\(58 = ( 8 - 0! )^{2} + 9 \)
\(59 = 8^{2} + 0! - \sqrt{9 }!\)
\(60 = ( 0! + 9 ) \cdot ( 8 - 2 )\)
\(61 = \sqrt{\sqrt{9}^{8}} - 20 \)
\(62 = 90 - 28 \)
\(63 = \frac{ ( 9 - 2 )! }{ 80 }\)
\(64 = 8^{0 \cdot 9 + 2 }\)
\(65 = 9^{0} + 8^{2 }\)
\(66 = 90 - ( \frac{ 8 }{ 2 } )!\)
\(67 = 8^{0 + 2} + \sqrt{9 }\)
\(68 = 20 \cdot \sqrt{9} + 8 \)
\(69 = 89 - 20 \)
\(70 = ( 0 + 8 ) \cdot 9 - 2 \)
\(71 = \sqrt{80^{2}} - 9 \)
\(72 = 80 - 2^{\sqrt{9 }}\)
\(73 = 80 + 2 - 9 \)
\(74 = 90 - 2 \cdot 8 \)
\(75 = 80 - 2 - \sqrt{9 }\)
\(76 = 80 + 2 - \sqrt{9 }!\)
\(77 = \sqrt{80^{2}} - \sqrt{9 }\)
\(78 = 98 - 20 \)
\(79 = 80 + 2 - \sqrt{9 }\)
\(80 = 90 - 2 - 8 \)
\(81 = 82 - 9^{0 }\)
\(82 = 0 \cdot 9 + 82 \)
\(83 = 9^{0} + 82 \)
\(84 = 90 + 2 - 8 \)
\(85 = 80 + 2 + \sqrt{9 }\)
\(86 = 90 - \frac{ 8 }{ 2 }\)
\(87 = 80 - 2 + 9 \)
\(88 = ( 20 - 9 ) \cdot 8 \)
\(89 = 0 \cdot 2 + 89 \)
\(90 = 2^{0} + 89 \)
\(91 = 80 + 2 + 9 \)
\(92 = 8 \cdot 9 + 20 \)
\(93 = 8^{0} + 92 \)
\(94 = \frac{ 8 }{ 2 } + 90 \)
\(95 = 98 - 0! - 2 \)
\(96 = 90 - 2 + 8 \)
\(97 = 98 - 2^{0 }\)
\(98 = 2 \cdot 9 + 80 \)
\(99 = 2^{0} + 98 \)
\(100 = 90 + 2 + 8 \)