Question

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

Answer 1

Answer:

Step-by-step explanations:

1+ under root 2 is a zero of p(x)

Then sum of zeroes= -b/a (rational) ( given)

Also product of zeroes = c/a (rational)

Since irrational roots occur in conjugate pair

Therefore the other root is 1- under root 2

Answer 2

Answer:

Other root would be $1-\sqrt{2}$

Step-by-step explanation:

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

Quadratic equation has two roots.

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

Conjugate pair: $a+\sqrt{b}$ and $a-\sqrt{b}$

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

Now we write conjugate root of this one

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