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 Sqrt

 http://functions.wolfram.com/01.01.16.0072.01

 Input Form

 Sqrt[z^a] == z^(a/2) /; Element[a, Reals] && Inequality[-Pi, Less, a Arg[z], LessEqual, Pi]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SqrtBox[SuperscriptBox["z", "a"]], "\[Equal]", SuperscriptBox["z", RowBox[List["a", "/", "2"]]]]], "/;", RowBox[List[RowBox[List["Element", "[", RowBox[List["a", ",", "Reals"]], "]"]], "\[And]", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["a", " ", RowBox[List["Arg", "[", "z", "]"]]]], "\[LessEqual]", "\[Pi]"]]]]]]]]

 MathML Form

 z a z a / 2 /; a TagBox["\[DoubleStruckCapitalR]", Function[Reals]] - π < a arg ( z ) π Condition z a 1 2 z a 2 -1 a Inequality -1 a z [/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["a", "\[Element]", "Reals"]], "&&", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["a", " ", RowBox[List["Arg", "[", "z", "]"]]]], "\[LessEqual]", "\[Pi]"]]]]]]]]]]

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

 2007-05-02