Select the correct answer. Which expression simplifies to \( 5 \sqrt{3} \) ? A. \( \sqrt{30} \) B. \( \sqrt{45} \) C. \( \sqrt{75} \) D. \( \sqrt{15} \)

Did you know that simplifying square roots can reveal some interesting mathematical relationships? To simplify \( \sqrt{45} \), for instance, you break it down to \( \sqrt{9 \cdot 5} = 3\sqrt{5} \), and \( \sqrt{75} \) as \( \sqrt{25 \cdot 3} = 5\sqrt{3} \)! See how the number inside the root plays a crucial role in reaching the correct answer? When it comes to real-world applications, knowledge of simplifying square roots is important in fields like physics and engineering, where it often appears in equations. For example, calculating the hypotenuse in physics problems may require transformations of Pythagorean relationships using square roots, ensuring that you can find solutions efficiently and effectively!