3999

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