SOLUTION: A polynomial equation with rational coefficients has the roots 3 + sqrt6, 2- sqrt5. Find two additional roots. Thanks
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Question 1116983
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A polynomial equation with rational coefficients has the roots 3 + sqrt6, 2- sqrt5. Find two additional roots.
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Answer by
KMST(5328)
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If the coefficients are rational, every irrational root must be accompanied by its conjugate, so
and
are two additional roots.