BUILT-IN MATHEMATICA SYMBOL

# Sqrt

Sqrt[z]
or gives the square root of z.

## DetailsDetails

• 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].

## ExamplesExamplesopen allclose all

### Basic Examples (7)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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is not automatically replaced by :

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It can be simplified to if one assumes :

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Enter using Ctrl+2:

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