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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?

User Sanjeet
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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".

User Mercutio
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