Consider the following for the next two (02) items that follow :

A quadratic equation is given by

(3 + 2√2)x² - (4 + 2√3)x + (8 + 4√3) = 0

What is the GM of the roots of the equation ?

For how many quadratic equations, the sum of roots is equal to the product of roots?

Let α and β be the roots of the equation x² + px + q = 0. If α³ and β³ are the roots of the equation x² + mx + n = 0, then what is the value of m + n ?