Question:
If $1+\sqrt{2}$ is a root of a quadratic equation will rational coefficients, write its other root.
Solution:
Given that $(1+\sqrt{2})$ is a root of the quadratic equation with rational coefficients.
Then find the other root.
As we know that if $(1+\sqrt{2})$ is a root of the quadratic equation with rational coefficients then other roots be $(1-\sqrt{2})$.
Hence, the require root of the quadratic equation be $(1-\sqrt{2})$