# Square root of a complex number

• I
Nipon Waiyaworn
if a is a complex number then sqrt(a^2)=?
Is it is similar to Real Number?

Orodruin
Staff Emeritus
Homework Helper
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The square root of a complex number ##z## is a complex number ##w## such that ##w^2 = z##. Note that the square root function has two branches, or in other words, there are two possibilites to choose ##w##. ##\sqrt{z^2}=\pm z## depending on the chosen branch and ##z##.

jedishrfu
Mentor
Nipon Waiyaworn
The square root of a complex number ##z## is a complex number ##w## such that ##w^2 = z##. Note that the square root function has two branches, or in other words, there are two possibilites to choose ##w##. ##\sqrt{z^2}=\pm z## depending on the chosen branch and ##z##.
Thanks a lot

Nipon Waiyaworn
Thanks a lot

WWGD