Question

Does there exist a quadratic equation whose coefficients are all distinct irrational numbers but both the roots are rational numbers?

• A. Yes
• B. No
• C. Ambiguous
• D. Data insufficient

Answer 1

The correct option is A Yes

The situation mentioned in the question can exist. One of the example for the same is:

$\sqrt{3}{x}^2-\sqrt{27}x+\sqrt{12}=0$, which has roots $1,2$