Identify the Nature of a Quadratic Roots Expression

Consider the following equation:

$$x^2 - 4x + 3 = 0$$

Let $$r_1$$ and $$r_2$$ be the roots of the equation. Determine the value of the expression:

$$\frac{r_1^2 + r_2^2}{r_1 + r_2}$$

Based on the properties of rational and irrational numbers, which of the following options represents the nature of this value?