If 1+2–√ is a root of a quadratic equation will rational coefficients

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 $(1-\sqrt{2})$

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