## mskyeg Group Title A cubic polynomial with rational coefficients has the roots 6 + square root 6 and 2/3. Find one additional root. one year ago one year ago

Since it has rational coefficients, that means that when you multiply the product of the three roots $(a)(x-(6+\sqrt{6}))(x-2/3)$ you somehow avoid having an irrational coefficient (something with a square root). So the big question is What times (x-(6+sqrt(6))) will avoid this issue. I believe there is a parallel problem with complex numbers and they multiply by the complex conjugate. I suspect something similar here.