Convert it to exponential form.
.
Note that this only gives one of the square roots, but you can find the other using the fact that there are always 2 square roots and they are evenly spaced around a circle.
Hi,
How do I compute square root of a complexed number without a calculator?
In other words how should I think and break down the following with just pen and paper?
I would appriciate any guidance.
Thank you
Hello, 4Math!
Here is a primitive method . . .
Find: .
Let: . where and are real.
Square both sides: .
And we have: .
Equate real and imaginary components: .
From [2] we have: .
Substitute into [1]: .
. . Hence: .
Substitute into [3]: .
Hence: .
Therefore: .