If the discriminant of a quadratic equation, ax² + bx + c = 0, is greater than zero and a perfect square and b is irrational, then the roots are:

1. irrational and unequal

2. irrational and equal

3. rational and unequal

4. rational and equal

We know that,

If the Discriminant is greater than 0 and a perfect square and b is irrational, then the roots are irrational and unequal.

Hence, option 1 is the correct option.