Question 30
a. Examine if there is a real number $x$, such that both $x + \sqrt{3}$ and $x^2 + \sqrt{3}$ are rational numbers.
b. Examine if there is a real number $y$, such that both $y + \sqrt{3}$ and $y^3 + \sqrt{3}$ are rational numbers.
b. Examine if there is a real number $y$, such that both $y + \sqrt{3}$ and $y^3 + \sqrt{3}$ are rational numbers.