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

4166 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Write (1+2i) /(2-i) in form x+iy


Prove by induction that 11^n - 6 is divisible by 5 for all positive integer n.


Find the area of the surface generated when the curve with equation y=cosh(x) is rotated through 2 pi radians about the x axis, with 2<=x<=6


How do I integrate arctan(x) using integration by parts?


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