Question

Find the square roots of the complex number.

2 - 2i

Answer 1

Step 1:

The complex number is .

The trigonometric form of the complex number is .

Where

Here, and lies in the fourth quadrant.

.

Substitute in the .

Formula for root of the complex number is

Where .

Step 2:

For square root substitute and in  .

For , root is

.

For , root is

.

Solution:

Square root of the complex number is and .