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
Answered by Vishal J. Further Mathematics tutor

4003 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Are we able to represent linear matrix transformations with complex numbers?


What is the meaning of having a 3 by 3 matrix with determinent 0. Both geometrically and algebriaclly.


What is sin(x)/x for x =0?


Show that cosh^2(x)-sinh^2(x)=1


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning