Question

Of root 2 +1 is a root of a quadratic equation with rational coefficients, write its other root

Answer 1

Answer:

$-\sqrt{2} + 1$

Explanation:

If one root of a quadratic equation, which has rational coefficients, is of the form $p + \sqrt{q}$ or $p - \sqrt{q}$, the other root is the conjugate of this root, that is, the other root is $p - \sqrt{q}$ or $p + \sqrt{q}$, respectively.

Note that in the other root, the sign of the irrational quantity is changed.