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