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 GoldenRatio

 http://functions.wolfram.com/02.02.26.0001.01

 Input Form

 GoldenRatio == (1/2) (Fibonacci[1] Sqrt[5] + Sqrt[5 Fibonacci[1]^2 - 4])

 Standard Form

 Cell[BoxData[RowBox[List["GoldenRatio", "\[Equal]", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["Fibonacci", "[", "1", "]"]], " ", SqrtBox["5"]]], "+", SqrtBox[RowBox[List[RowBox[List["5", " ", SuperscriptBox[RowBox[List["Fibonacci", "[", "1", "]"]], "2"]]], "-", "4"]]]]], ")"]]]]]]]]

 MathML Form

 ϕ TagBox["\[Phi]", Function[GoldenRatio]] 1 2 ( 5 F TagBox["F", Fibonacci] 1 + 5 F TagBox["F", Fibonacci] 1 2 - 4 ) GoldenRatio 1 2 5 1 2 Fibonacci 1 5 Fibonacci 1 2 -4 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "GoldenRatio", "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["Fibonacci", "[", "1", "]"]], " ", SqrtBox["5"]]], "+", SqrtBox[RowBox[List[RowBox[List["5", " ", SuperscriptBox[RowBox[List["Fibonacci", "[", "1", "]"]], "2"]]], "-", "4"]]]]], ")"]]]]]]]]

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

 2001-10-29