Understanding Roots of Quadratic Equations with Irrational Numbers

Consider the following equation:

$$x^2 + 3x + 2 = 0$$

Using the quadratic formula, we can determine the values of $x$. The quadratic formula is given as:

$$x = \f\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

In this equation, $a = 1$, $b = 3$, and $c = 2$. Evaluate the value of the discriminant, $D = b^2 - 4ac$, and determine which of the following statements is true regarding the nature of the roots of the equation and if they include irrational numbers.