Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals?

Explanation

To determine if there exists a quadratic equation with distinct irrational coefficients and rational roots, we can follow these steps:

### Step 1: Understand the general form of a quadratic equation
A quadratic equation can be expressed in the standard form:
\[ ax^2 + bx + c = 0 \]
where \( a \), \( b \), and \( c \) are the coefficients.

### Step 2: Identify the conditions for rational roots
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