\( -3 \sqrt{8 x^{3}} \) and \( x^{2} \sqrt{18 x} \)

Did you know that simplifying square roots can make complex expressions much easier to handle? For example, \( \sqrt{8} \) can be simplified to \( 2\sqrt{2} \), and \( \sqrt{18} \) simplifies to \( 3\sqrt{2} \). So, our expression for \( -3 \sqrt{8 x^3} \) becomes \( -6 \sqrt{2} x^{3/2} \) and \( x^2 \sqrt{18 x} \) simplifies to \( 3 x^{2 + 1/2} \sqrt{2} \) or \( 3x^{5/2} \sqrt{2} \). When dealing with square roots and variables, it's easy to make mistakes if you forget to simplify or combine like terms properly. Always double-check your simplifications and pay attention to the powers of \( x \)! It’s a common pitfall to overlook the rules of exponents when working with radicals, but once you master this, you'll be a pro at tackling even trickier math problems!