Question

Find sqrt(-27+36i).

Answer 1

I found that this is, more simply, 3sqrt(-3+4i); yet, I cannot get the answer.

Answer 2

Put:

\[\sqrt{-27 + 36i } = x+iy\]

Now, square both the sides..

Answer 3

Is the x+iy a guess of how the form of the answer will be?

Answer 4

Complex number can be in this form..
Square root of a complex number will also be complex..
So, I let that is (x + iy)


Now take square both the sides..

Answer 5

Thank you.