Question

if you know that 3+sqrt 11 is a root of a polynomial function, then the name given to 3 -sqrt 11, another root of that same function, is a______conjugate?

Answer 1

Answer: Radical conjugate.

Explanation:

By definition
`a+√(b)` and
`a-√(b)` are called "Conjugate radicals".

Therefore, by this definition, you can know the following:

1)
`a+√(b)` is the conjugate of
`a-√(b)`

2)
`a-√(b)` is the conjugate of
`a+√(b)`.

Then, since you know that
`3+√(11)` is a root of a polynomial function, therefore you can conclude that the name given to the other root
`3-√(11)` of the same function is the following:

"Radical conjugate".