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 Sqrt

 http://functions.wolfram.com/01.01.16.0003.01

 Input Form

 Sqrt[-z] == E^((1/2) I Pi (1 + 2 Floor[-(Arg[z]/(2 Pi))])) Sqrt[z]

 Standard Form

 Cell[BoxData[RowBox[List[SqrtBox[RowBox[List["-", "z"]]], "\[Equal]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", "\[Pi]", " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["2", " ", RowBox[List["Floor", "[", RowBox[List["-", FractionBox[RowBox[List["Arg", "[", "z", "]"]], RowBox[List["2", " ", "\[Pi]"]]]]], "]"]]]]]], ")"]]]]], " ", SqrtBox["z"]]]]]]]

 MathML Form

 - z exp ( 1 2 π ( 1 + 2 - arg ( z ) 2 π ) ) z -1 z 1 2 1 2 1 2 -1 z 2 -1 z 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SqrtBox[RowBox[List["-", "z_"]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", "\[Pi]", " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["2", " ", RowBox[List["Floor", "[", RowBox[List["-", FractionBox[RowBox[List["Arg", "[", "z", "]"]], RowBox[List["2", " ", "\[Pi]"]]]]], "]"]]]]]], ")"]]]]], " ", SqrtBox["z"]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29