How do you cube the square root of imaginary number ex square root of 2i cubed?

Answer 1

From the question, it seems you already calculated the square root, or know how to get it. You can cube complex numbers just like you cube normal numbers: multiply them by themselves; the number must appear three times as a factor. For example, the cube of (2 + i) is (2+i) x (2+i) x (2+i). Another method - usually faster - to calculate any power is to express the complex number in polar form (absolute value and angle). For the specific case of a cube, the cube of such a number is the cube of the absolute value, at an angle that is three times the angle of the original number.