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)
= ![721_Algebraic Operations with Complex Numbers1.png](https://www.expertsmind.com/../CMSImages/721_Algebraic Operations with Complex Numbers1.png)
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
![2276_Algebraic Operations with Complex Numbers2.png](https://www.expertsmind.com/../CMSImages/2276_Algebraic Operations with Complex Numbers2.png)
Example: Calculate the square root of 8 - 15i.
Solution: Here y = -15 < 0
![13_Algebraic Operations with Complex Numbers3.png](https://www.expertsmind.com/CMSImages/13_Algebraic%20Operations%20with%20Complex%20Numbers3.png)
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