Multiply. Write your answer in simplest form. \( \sqrt{2} \cdot \sqrt{3} \)

When you multiply square roots, you can combine them under one square root: \( \sqrt{2} \cdot \sqrt{3} = \sqrt{2 \cdot 3} = \sqrt{6} \). So, your answer in simplest form is \( \sqrt{6} \). Did you know that the product of square roots can be traced back to ancient mathematics? The Babylonians used geometric methods as early as 2000 BCE to understand roots and their calculations, laying the groundwork for modern algebra! To ensure you're always breaking down square roots correctly, remember that when multiplying, always combine the numbers under one square root before simplifying, if possible. A common mistake is to multiply them only and leave the square roots separate—always unify first for the best results!