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Mathematica > Arithmetic Functions >

Sqrt ()

Sqrt[z]
or gives the square root of z.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • can be entered using Ctrl+2 z or \(\@z\).
  • Sqrt[z] is converted to z^(1/2).
  • Sqrt[z^2] is not automatically converted to z.
  • Sqrt[a b] is not automatically converted to Sqrt[a]Sqrt[b].
  • These conversions can be done using PowerExpand, but will typically be correct only for positive real arguments.
  • For certain special arguments, Sqrt automatically evaluates to exact values.
  • Sqrt can be evaluated to arbitrary numerical precision.
  • Sqrt automatically threads over lists.
  • z can also be used for input. The character is entered as Esc sqrt Esc or \[Sqrt].
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