Question

Find all the square roots of the complex number −1−i

Write the square roots in polar (re^{iθ}) form, with the smaller angle first. Give your angles in *degrees*.

Root #1:

Root #2:

Write the square roots in a+bi form, with the smaller angle first:

Root #1:

Root #2:

* PHOTO INCLUDED BELOW

Step 1

The complex number is z = – 1 – i, its square root give another complex number. Hence, it can be written as

Step 2

Find the exponential form of the complex number – 1 – i as follows.

Step 3

Thus, the exponential...

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