Square root of complex number

Calculator and formulas for square root of a complex number

Square root calculator

This calculator gives you the square root of a complex number. For the calculation, enter the real and imaginary value in the corresponding fields. Then click on the 'Calculate' button.

Square root calculator

Complex number +  i
Decimal places
Square root

Square root formula for a complex number

In the following description, \(z\) stands for the complex number and \(|z|\) for the absolute value.
\(x\)stands for the real value \(Re\) and \(y\) for the imaginary value \(Im\).


Calculating the square root of 3 + 5i.

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