Multiply. Write your answer in simplest form. \( \sqrt{5} \cdot \sqrt{2} \)

To multiply \( \sqrt{5} \cdot \sqrt{2} \), you can simply combine the square roots. This gives you \( \sqrt{5 \cdot 2} = \sqrt{10} \). Since 10 does not have any perfect square factors other than 1, \( \sqrt{10} \) is already in its simplest form. You might find it interesting that the product of square roots is a nifty trick used in various fields, including physics and engineering! It's a convenient way to handle radical expressions, whether in calculations involving dimensions, areas, or any scenarios where square roots pop up. Mixing and matching square roots can lead to elegant solutions. If you’re intrigued by similar math concepts, delve into the world of irrational numbers! Exploring the properties of square roots, cube roots, and how they interrelate with rational numbers can wow you, especially when you discover how they appear in nature and technology. Books and online resources abound on these foundational concepts, just waiting for your curious mind!