2) \( \sqrt{75} \)

Did you know that \( \sqrt{75} \) can be simplified by breaking it down into its prime factors? The number 75 can be expressed as \( 25 \times 3 \), where 25 is a perfect square. So, when you simplify \( \sqrt{75} \), it becomes \( \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3} \). How neat is that? In real-world applications, simplifying square roots like \( \sqrt{75} \) helps in fields like engineering and physics. For instance, when calculating distances or measurements in design, having simplified expressions makes it easier to work with numbers and communicate results. Knowing how to break down square roots ensures accuracy and clarity in your calculations!