Question

If 2+√3 is a polynomial root, name another root of the polynomial. Explain how you know it's a root.

Answer 1

Assuming polynomial has rational coefficients,
then other root must be the conjugate : 2 − √3

Answer 2

That's called the "conjugate" of the first root.
By all means, check your answer. Can you obtain a polynomial with rational coefficients from these 2 possible roots?

Answer 3

So it would be 2 -√3?

Answer 4

@mathmale