Prove that the expectation value of $E[(\min(X,Y)^2] < \infty$ is well-defined.

Question

Say that we have two non-negative random variables $X, Y$ that independent and identically distributed over the same sample spaces $\Omega$. We know that the expectation of $X$ are well-defined well the one of $X^2$ not. what I wanna know is wether

$$ \mathbb{E}[\max(X,Y)^2] $$

and

$$ \mathbb{E}[\min(X,Y)^2] $$

is also well-defined or not?