The square roots of are
Step-1: Assume a complex number to be the square root of the given complex number and form equations:
, where
Let be the square of the complex number
Step-2: Solve the formed equations to find the value of
On comparing the real and imaginary parts we get
and
Adding and we get
Step-3: Solve for the required value:
From equation ,
When ,
When ,
The square root is .
Hence, substituting the appropriate values of and we get,
and
Hence, the square roots of the number are and .