Cube roots of 8?

8 traditionally has 1 cube root. 2. This is only the real root. It has 2 more complex roots!How can we see this?Consider a vector on the argand diagram. If we square it. What happens to it's magnitude and arguement?So as we can see. If 8 is expressed on an argand diagram. The vector at 2 when cubed maps to 8. But can you see the two other points?In general the nth cube root of a complex number has n roots.

VJ

Related Further Mathematics A Level answers

All answers ▸

Find the volume of revolution about the x-axis of the curve y=1/sqrt(x^2+2x+2) for 0<x<1


A useful practice: how to determine the number of solutions of a system of linear equations beforehand


Prove by induction that the sum from r=1 to n of (2r-1) is equal to n^2.


Using a Taylor's series or otherwise; derive Euler's Formula