Algebraic Operations with Complex Numbers:

• Addition : (a + ib) + (c+id) = (a + c) + i ( b+d)

• Subtraction      : (a + ib) - (c+id) = (a - c) + i ( b - d)

• Multiplication   : (a + ib) (c+id) = (ac - bd) + i ( ad + bc)

• Division           :    ( when one of c and d is non-zero)

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Square root of a Complex Number:

Suppose z₁ = x₁ + iy₁ be the provided complex number and we have to get its square root.

Consider x + iy = (x₁ + iy₁)^½  

Example: Calculate the square root of 8 - 15i.

Solution:        Here y = -15 < 0

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