Question

Does there exist a quadratic equation whose coefficient are rational but both of its roots are irrational? Justify your answer.​

Answer 1

$\mathcal{\huge{\fbox{\purple{AnSwEr:-}}}}$

Yes, it is possible for a quadratic equation with rational coefficients to have both roots irrational because it depends upon discriminant value.If discriminant is a perfect square then the roots are rational otherwise irrational.

Example, referes to the attachment