Find the complex number z=a+bi such that z^3 = 2+2i where a is smaller or equal to zero and b is greater or equal to zero.
Find the values of all of the following:
(1-sqrt(3)i)^(1/3)
(i+1)^(1/2)
Thanks in advance!!
Find the complex number z=a+bi such that z^3 = 2+2i where a is smaller or equal to zero and b is greater or equal to zero.
Find the values of all of the following:
(1-sqrt(3)i)^(1/3)
(i+1)^(1/2)
Thanks in advance!!
I assume you are using the equation:
$\displaystyle \sqrt[ n]{ z} = \sqrt[ n]{ r} \left (cos \left ( \frac{ \theta + 2k \pi }{ n} \right ) + isin \left ( \frac{ \theta + 2k \pi }{n } \right ) \right ) $
In this case theta is pi/4, n is 3, r is 8^(1/2)
plug in each of k = 0, 1, 2
and see what happens. It looks like you may have done this already though...