Question

A Cubic Polynomial with rational coefficients has the roots 6 + SQRT6 and 2/3 FInd one additional root.

SHOW STEPS PLEASE O_O

Answer 1

Answer: 6 - sqrt(6)

This is because of the rule that if we have rational coefficients, then one root of
`a+√(b)` must have a conjugate pair of
`a-√(b)`. Multiplying the conjugates will have the square roots cancel out.

For more information, check out the difference of squares rule.