Question

Complex number to exponential form:
(1+i)^(3/2)
Writing this out it becomes sqrt(-2+2i)
I need help turning this into an exponential form. I am stuck, please help!

Answer 1

How does writing that out becomes (-2 + 2i) ?

Answer 2

oh, didn't see the square root.

Answer 3

the square root of -2+2i. Because it turns to sqrt[(1+i)^2]

Answer 4

okay, What you have done is correct, but you could have used euler's formula in the first place only, with (1+i), if you understand what I mean ?

Answer 5

I am afraid I do not know how to use eulers in this form. All I know is breaking down the exponential of an imaginary

Answer 6

e^ix = cos(x) + isin(x)
right ?

Answer 7

yes

Answer 8

so then will it be cos[(-2)^1/2]+isin[sqrt(2)]?

Answer 9

you have
(1+i)^(3/2)
can we write it as :

?