Which statement best captures the product rule for n^th roots?

Select the statement that accurately lists all the conditions required for a radical to be considered fully simplified (assuming principal roots and nonnegative variables).

Rationalize the denominator and simplify $\frac{3}{\sqrt{2}}$.

Simplify the expression $\sqrt{x^5}$, assuming $x\ge 0$.

Simplify $\sqrt{\frac{50x^7}{2x^2}}$.