\( \sqrt { x } - \sqrt { y } \)

Did you know that the difference of two square roots, like \( \sqrt{x} - \sqrt{y} \), can be rationalized? You can multiply the expression by the conjugate \( \sqrt{x} + \sqrt{y} \) to simplify it, turning it into a fraction! This neat trick helps eliminate the square roots from the denominator, making it easier to work with. If you're ever stuck on how to manipulate square roots in algebra, remember to check for opportunities to square both sides of an equation or to factor when applicable. It's easy to make mistakes by forgetting to square every term or getting signs mixed up. Keeping your work organized and checking each step can save you a lot of headaches!