5999

\(1 = 59^{9 - 9 }\) \(2 = \sqrt{99 - 95 }\) \(3 = 9 - ( \frac{ 9 }{ 9 } + 5 )\) \(4 = 99 - 95 \)
\(5 = 9 - ( 5 - \frac{ 9 }{ 9 } )\) \(6 = \frac{ 99 }{ 9 } - 5 \) \(7 = \frac{ 9 + 9 }{ 9 } + 5 \) \(8 = 9 - 5^{9 - 9 }\)
\(9 = ( 9 - 9 ) \cdot 5 + 9 \) \(10 = 5^{9 - 9} + 9 \) \(11 = \sqrt{\sqrt{9}!! - 599 }\) \(12 = 5! - 99 - 9 \)
\(13 = 5 - \frac{ 9 }{ 9 } + 9 \) \(14 = 95 - 9 \cdot 9 \) \(15 = \frac{ 9 }{ 9 } + 5 + 9 \) \(16 = \frac{ 99 }{ 9 } + 5 \)
\(17 = \frac{ 9 }{ \sqrt{9} } + 5 + 9 \) \(18 = \frac{ 99 - 9 }{ 5 }\) \(19 = \sqrt{9}! - 5 + 9 + 9 \) \(20 = 5 - \sqrt{9} + 9 + 9 \)
\(21 = \frac{ 99 + \sqrt{9}! }{ 5 }\) \(22 = 9 \cdot 9 - 59 \) \(23 = \sqrt{9 \cdot 9} + 5 + 9 \) \(24 = ( 99 - 95 )!\)
\(25 = 5^{\frac{ 9 + 9 }{ 9 }}\) \(26 = 5^{\sqrt{9}} - 99 \) \(27 = ( 9 - 5 ) \cdot 9 - 9 \) \(28 = \frac{ 99 }{ \sqrt{9} } - 5 \)
\(29 = 5 + \sqrt{9}! + 9 + 9 \) \(30 = 5! - 99 + 9 \) \(31 = \sqrt{9} \cdot 9 - 5 + 9 \) \(32 = 59 - \sqrt{9} \cdot 9 \)
\(33 = ( 5 - \frac{ 9 }{ 9 } )! + 9 \) \(34 = \frac{ 5! + 9 }{ \sqrt{9} } - 9 \) \(35 = \sqrt{9} \cdot 9 + 5 + \sqrt{9 }\) \(36 = ( 5 - \frac{ 9 }{ 9 } ) \cdot 9 \)
\(37 = \frac{ ( 5! - 9 ) \cdot \sqrt{9} }{ 9 }\) \(38 = \frac{ 99 }{ \sqrt{9} } + 5 \) \(39 = ( 9 - 5 + 9 ) \cdot \sqrt{9 }\) \(40 = 99 - 59 \)
\(41 = 59 - 9 - 9 \) \(42 = ( 9 - 5 )! + 9 + 9 \) \(43 = \frac{ ( 5! + 9 ) \cdot \sqrt{9} }{ 9 }\) \(44 = 5 \cdot 9 - \frac{ 9 }{ 9 }\)
\(45 = ( 9 - ( 9 - 5 ) ) \cdot 9 \) \(46 = 5 \cdot 9 + \frac{ 9 }{ 9 }\) \(47 = 59 - 9 - \sqrt{9 }\) \(48 = 5! - 9 \cdot 9 + 9 \)
\(49 = ( 9 - \sqrt{9} ) \cdot 9 - 5 \) \(50 = 59 - \sqrt{9 \cdot 9 }\) \(51 = ( 5 + 9 ) \cdot \sqrt{9} + 9 \) \(52 = \frac{ 5! + 9 }{ \sqrt{9} } + 9 \)
\(53 = 59 - 9 + \sqrt{9 }\) \(54 = 99 - 5 \cdot 9 \) \(55 = \frac{ 99 \cdot 5 }{ 9 }\) \(56 = 59 - \frac{ 9 }{ \sqrt{9 } }\)
\(57 = 5 \cdot 9 + \sqrt{9} + 9 \) \(58 = 59 - \frac{ 9 }{ 9 }\) \(59 = 59 - 9 + 9 \) \(60 = \frac{ 9 }{ 9 } + 59 \)
\(61 = \frac{ \sqrt{9}! }{ \sqrt{9} } + 59 \) \(62 = \frac{ 9 }{ \sqrt{9} } + 59 \) \(63 = 5 \cdot 9 + 9 + 9 \) \(64 = ( 5 - \frac{ 9 }{ 9 } )^{\sqrt{9 }}\)
\(65 = 59 - \sqrt{9} + 9 \) \(66 = 9 \cdot 9 - 5 \cdot \sqrt{9 }\) \(67 = 9 \cdot 9 - 5 - 9 \) \(68 = \sqrt{9 \cdot 9} + 59 \)
\(69 = 99 - 5 \cdot \sqrt{9 }!\) \(70 = 9 \cdot 9 - 5 - \sqrt{9 }!\) \(71 = 59 + \sqrt{9} + 9 \) \(72 = ( 9 - 5 ) \cdot ( 9 + 9 )\)
\(73 = \frac{ 99 + 5! }{ \sqrt{9 } }\) \(74 = 59 + \sqrt{9}! + 9 \) \(75 = 99 - ( 9 - 5 )!\) \(76 = \sqrt{9 \cdot 9} \cdot 9 - 5 \)
\(77 = 59 + 9 + 9 \) \(78 = ( 9 - 5 + 9 ) \cdot \sqrt{9 }!\) \(79 = 9 \cdot 9 - 5 + \sqrt{9 }\) \(80 = 95 - 9 - \sqrt{9 }!\)
\(81 = ( 9 + 9 ) \cdot 5 - 9 \) \(82 = 9 \cdot 9 - 5 + \sqrt{9 }!\) \(83 = 95 - 9 - \sqrt{9 }\) \(84 = 99 - 5 \cdot \sqrt{9 }\)
\(85 = 99 - 5 - 9 \) \(86 = \sqrt{9} \cdot 9 + 59 \) \(87 = 5! - \frac{ 99 }{ \sqrt{9 } }\) \(88 = 99 - 5 - \sqrt{9 }!\)
\(89 = 95 - 9 + \sqrt{9 }\) \(90 = 9^{5 - \sqrt{9}} + 9 \) \(91 = 99 - 5 - \sqrt{9 }\) \(92 = 95 - \frac{ 9 }{ \sqrt{9 } }\)
\(93 = ( 9 + 9 ) \cdot 5 + \sqrt{9 }\) \(94 = 95 - \frac{ 9 }{ 9 }\) \(95 = 95 - 9 + 9 \) \(96 = \frac{ 9 }{ 9 } + 95 \)
\(97 = 99 - 5 + \sqrt{9 }\) \(98 = \frac{ 9 }{ \sqrt{9} } + 95 \) \(99 = ( 9 + 9 ) \cdot 5 + 9 \) \(100 = 99 - 5 + \sqrt{9 }!\)