How do you find all additional roots given the roots #5-sqrt6# and #-2+sqrt10#?

1 Answer
Jim H
Jul 20, 2017

There is not enough information provided to answer this question.

Explanation:

Even assuming that we're talking about a polynomial, any numbers might be additional roots of the polynomial.

If we require rational coefficients, the the conjugates #5+sqrt6# and #-2-sqrt10# are also roots.

But for all we know #7# might also be a root. and #9-sqrt7i# might be a root and so on.

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