#### Question

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

#### Solution

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)`.

Is there an error in this question or solution?

#### APPEARS IN

Solution If 1 + √ 2 is a Root of a Quadratic Equation Will Rational Coefficients, Write Its Other Root. Concept: Solutions of Quadratic Equations by Factorization.