1)) Multiply. Write your answer in simplest form \( \sqrt{15} \cdot \sqrt{2} \) \( \square \)

When you multiply square roots, you can combine them under one square root: \( \sqrt{15} \cdot \sqrt{2} = \sqrt{15 \cdot 2} = \sqrt{30} \). The number 30 doesn't have any perfect square factors (other than 1), so \( \sqrt{30} \) is already in its simplest form. To visualize, think of the square root as a way to express areas. For instance, if you have a rectangle with sides of lengths representing 15 and 2, the total area becomes \( \sqrt{30} \), which can't be simplified further because there are no neat squares to break it into!