If 2+/square root/3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.

I know the other root must be 2-/square root/3, but I don't really understand why since I need to explain.
Best answer gets medal and fan.

Question

If 2+/square root/3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.

I know the other root must be 2-/square root/3, but I don't really understand why since I need to explain.
Best answer gets medal and fan.

vocaloid · Answer

the rational root theorem states that the conjugate of an irrational root is also a root

should be a sufficient explanation

anonymous · Answer

Okay thank you so much