Answer: Radical conjugate.
Step-by-step explanation:
By definition [tex]a+\sqrt{b}[/tex] and [tex]a-\sqrt{b}[/tex] are called "Conjugate radicals".
Therefore, by this definition, you can know the following:
1) [tex]a+\sqrt{b}[/tex] is the conjugate of [tex]a-\sqrt{b}[/tex]
2) [tex]a-\sqrt{b}[/tex] is the conjugate of [tex]a+\sqrt{b}[/tex].
Then, since you know that [tex]3+\sqrt{11}[/tex] is a root of a polynomial function, therefore you can conclude that the name given to the other root [tex]3-\sqrt{11}[/tex] of the same function is the following:
"Radical conjugate".
