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 Sqrt

 http://functions.wolfram.com/01.01.16.0026.01

 Input Form

 Sqrt[z^a] == z^(a/2) /; Inequality[-Pi, Less, Im[a Log[z]], LessEqual, Pi] || Inequality[-1, Less, a, LessEqual, 1]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SqrtBox[SuperscriptBox["z", "a"]], "\[Equal]", SuperscriptBox["z", RowBox[List["a", "/", "2"]]]]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["Im", "[", RowBox[List["a", " ", RowBox[List["Log", "[", "z", "]"]]]], "]"]], "\[LessEqual]", "\[Pi]"]], "\[Or]", RowBox[List[RowBox[List["-", "1"]], "<", "a", "\[LessEqual]", "1"]]]]]]]]

 MathML Form

 z a z a / 2 /; - π < Im ( a log ( z ) ) π - 1 < a 1 Condition z a 1 2 z a 2 -1 Inequality -1 a z Inequality -1 a 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SqrtBox[SuperscriptBox["z_", "a_"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", RowBox[List["a", "/", "2"]]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["Im", "[", RowBox[List["a", " ", RowBox[List["Log", "[", "z", "]"]]]], "]"]], "\[LessEqual]", "\[Pi]"]], "||", RowBox[List[RowBox[List["-", "1"]], "<", "a", "\[LessEqual]", "1"]]]]]]]]]]

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

 2001-10-29