5589

\(1 = 59 - 58 \) \(2 = \sqrt{58 - 9} - 5 \) \(3 = 5 - \frac{ 8 }{ 9 - 5 }\) \(4 = 5 - ( 9 - 8 )^{5 }\)
\(5 = \frac{ 55 }{ 8 + \sqrt{9 } }\) \(6 = ( 8 - 5 ) \cdot 5 - 9 \) \(7 = \frac{ 55 + 8 }{ 9 }\) \(8 = \frac{ 55 + 9 }{ 8 }\)
\(9 = \sqrt{85 + 5 - 9 }\) \(10 = 95 - 85 \) \(11 = \frac{ 95 }{ 5 } - 8 \) \(12 = \sqrt{55 + 89 }\)
\(13 = 58 - 5 \cdot 9 \) \(14 = \frac{ 85 }{ 5 } - \sqrt{9 }\) \(15 = \frac{ 9 }{ 8 - 5 } \cdot 5 \) \(16 = \sqrt{55 + 9} + 8 \)
\(17 = 8 \cdot 9 - 55 \) \(18 = \sqrt{95 + 5} + 8 \) \(19 = 59 - 5 \cdot 8 \) \(20 = \frac{ 85 }{ 5 } + \sqrt{9 }\)
\(21 = \frac{ 55 + 8 }{ \sqrt{9 } }\) \(22 = ( 8 - 5 ) \cdot 9 - 5 \) \(23 = \frac{ 85 }{ 5 } + \sqrt{9 }!\) \(24 = \sqrt{585 - 9 }\)
\(25 = 5^{\frac{ 8 }{ 9 - 5 }}\) \(26 = 85 - 59 \) \(27 = \frac{ 95 }{ 5 } + 8 \) \(28 = ( 9 - 5 ) \cdot 5 + 8 \)
\(29 = \frac{ 58 }{ 5 - \sqrt{9 } }\) \(30 = \sqrt{895 + 5 }\) \(31 = 55 - 8 \cdot \sqrt{9 }\) \(32 = 5 \cdot 9 - 5 - 8 \)
\(33 = 5! - 95 + 8 \) \(34 = 89 - 55 \) \(35 = \sqrt{58 - 9} \cdot 5 \) \(36 = 5! - 89 + 5 \)
\(37 = 95 - 58 \) \(38 = 55 - 8 - 9 \) \(39 = ( 8 - 5 )! \cdot 5 + 9 \) \(40 = 85 - 5 \cdot 9 \)
\(41 = 55 - 8 - \sqrt{9 }!\) \(42 = 5 \cdot 5 + 8 + 9 \) \(43 = 98 - 55 \) \(44 = 58 - 5 - 9 \)
\(45 = 85 - \frac{ 5! }{ \sqrt{9 } }\) \(46 = 59 - 5 - 8 \) \(47 = 8 \cdot 9 - 5 \cdot 5 \) \(48 = 5 \cdot 9 - 5 + 8 \)
\(49 = \sqrt{5 \cdot 5} \cdot 8 + 9 \) \(50 = 55 - 8 + \sqrt{9 }\) \(51 = \frac{ 85 }{ 5 } \cdot \sqrt{9 }\) \(52 = ( 5 + 8 ) \cdot ( 9 - 5 )\)
\(53 = 5! - 58 - 9 \) \(54 = 55 + 8 - 9 \) \(55 = ( 9 - 8 ) \cdot 55 \) \(56 = 55 - 8 + 9 \)
\(57 = 55 + 8 - \sqrt{9 }!\) \(58 = 5 \cdot 9 + 5 + 8 \) \(59 = 58 - 5 + \sqrt{9 }!\) \(60 = 55 + 8 - \sqrt{9 }\)
\(61 = 85 - ( 9 - 5 )!\) \(62 = \frac{ 558 }{ 9 }\) \(63 = ( 8 - \frac{ 5 }{ 5 } ) \cdot 9 \) \(64 = 89 - 5 \cdot 5 \)
\(65 = \frac{ 585 }{ 9 }\) \(66 = 55 + 8 + \sqrt{9 }\) \(67 = 5^{\sqrt{9}} - 58 \) \(68 = ( 5 + 8 ) \cdot 5 + \sqrt{9 }\)
\(69 = 5! - 59 + 8 \) \(70 = 85 - 5 \cdot \sqrt{9 }\) \(71 = 85 - 5 - 9 \) \(72 = 55 + 8 + 9 \)
\(73 = 98 - 5 \cdot 5 \) \(74 = \frac{ 5! }{ 8 } + 59 \) \(75 = ( ( 8 - 5 )! + 9 ) \cdot 5 \) \(76 = \sqrt{\sqrt{( 5 + 9 )^{8}}} - 5 !\)
\(77 = 85 - 5 - \sqrt{9 }\) \(78 = ( 5 + 9 ) \cdot 5 + 8 \) \(79 = 89 - 5 - 5 \) \(80 = \sqrt{95 + 5} \cdot 8 \)
\(81 = 85 + 5 - 9 \) \(82 = 95 - 5 - 8 \) \(83 = 85 - 5 + \sqrt{9 }\) \(84 = 89 - \sqrt{5 \cdot 5 }\)
\(85 = 5 \cdot 8 + 5 \cdot 9 \) \(86 = 85 - 5 + \sqrt{9 }!\) \(87 = 85 + 5 - \sqrt{9 }\) \(88 = 89 - \frac{ 5 }{ 5 }\)
\(89 = 85 - 5 + 9 \) \(90 = \frac{ 5 }{ 5 } + 89 \) \(91 = \sqrt{\sqrt{( 5 + 5 )^{8}}} - 9 \) \(92 = 95 + 5 - 8 \)
\(93 = \frac{ 558 }{ \sqrt{9 }! }\) \(94 = \sqrt{5 \cdot 5} + 89 \) \(95 = \frac{ 855 }{ 9 }\) \(96 = 85 + 5 + \sqrt{9 }!\)
\(97 = 98 - \frac{ 5 }{ 5 }\) \(98 = 95 - 5 + 8 \) \(99 = 5 \cdot 8 + 59 \) \(100 = 5 \cdot \sqrt{9} + 85 \)