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BUILT-IN MATHEMATICA SYMBOL
Sqrt 
Sqrt[z]
or 
gives the square root of z.
Details
- Mathematical function, suitable for both symbolic and numerical manipulation.
can be entered using Ctrl+2 z or 
. - Sqrt[z] is converted to
. - 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.
- In StandardForm, Sqrt[z] is printed as
. - √z can also be used for input. The
character is entered as EscsqrtEsc or \[Sqrt].
Examplesopen all
Basic Examples (7)
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Evaluate numerically to any precision:
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Negative numbers have imaginary square roots:
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Sqrt threads element-wise over lists:
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is not automatically replaced by 
:
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It can be simplified to 
if one assumes 
:
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