If a quadratic equation with rational coefficients has discriminant \(D=25\), what will be the nature of its roots?

Correct answer: Real, rational and distinct

Here, \(D=25>0\), so the two roots are real and distinct. Since 25 is a perfect square and the coefficients are rational, the roots are also rational. Option B would be correct only when \(D=0\), while irrational roots occur when the positive discriminant is not a perfect square. Exam tip: \(D>0\) gives distinct real roots, \(D=0\) gives equal real roots, and \(D<0\) gives non-real roots.