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 Sqrt

 http://functions.wolfram.com/01.01.19.0002.01

 Input Form

 Im[Sqrt[x + I y]] == (x^2 + y^2)^(1/4) Sin[(1/2) ArcTan[x, y]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Im", "[", SqrtBox[RowBox[List["x", "+", RowBox[List["\[ImaginaryI]", " ", "y"]]]]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]]], ")"]], RowBox[List["1", "/", "4"]]], " ", RowBox[List["Sin", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["ArcTan", "[", RowBox[List["x", ",", "y"]], "]"]]]], "]"]]]]]]]]

 MathML Form

 Im ( x + y ) x 2 + y 2 4 sin ( 1 2 tan - 1 ( x , y ) ) x y 1 2 x 2 y 2 1 4 1 2 x y [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Im", "[", SqrtBox[RowBox[List["x_", "+", RowBox[List["\[ImaginaryI]", " ", "y_"]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]]], ")"]], RowBox[List["1", "/", "4"]]], " ", RowBox[List["Sin", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["ArcTan", "[", RowBox[List["x", ",", "y"]], "]"]]]], "]"]]]]]]]]

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

 2001-10-29