Question

If \[1 + \sqrt{2}\] is a root of a quadratic equation with rational coefficients, write its other root.

Answer 1

Given that `(1 + sqrt2)` is a root of the quadratic equation with rational coefficients.

Then find the other root.

As we know that if `(1 + sqrt2)` is a root of the quadratic equation with rational coefficients then other roots be `(1 - sqrt2)`.

Hence, the require root of the quadratic equation be `(1 - sqrt2)`.