Sqrt

• Sqrt[ z ] or gives the square root of z.
• Mathematical function (see Section A.3.10).
• can be entered using 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.
• In StandardForm, Sqrt[ z ] is printed as .
• z can also be used for input. The character is entered as sqrt or \[Sqrt].
• See the Mathematica book: Section 1.1.3.

Further Examples

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Sqrt will return a complex result when evaluating a negative argument.

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This result is false if a and b are both negative, but you can do it anyway with PowerExpand.

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This is the derivative.

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This is the integral.

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This is a series expansion around .

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