Question

3. If 1+ 2 is a root of a quadratic equation with rational coefficients, write its other roots​

Answer 1

Answer:

Other root would be 1-\sqrt{2}1− 2

Step-by-step explanation:

If one root of quadratic equation with rational coefficient is 1+\sqrt{2}1+ 2

Quadratic equation has two roots.

We have been given a irrational root. As we know irrational root occur in conjugate pair.

Conjugate pair: a+\sqrt{b}a+b

and a-\sqrt{b}a− b

One given root is 1+\sqrt{2}1+ 2

Now we write conjugate root of this one

Thus, Other root would be 1-\sqrt{2}1− 2

hope it helps u