What is the following product? \( \sqrt{10} \cdot \sqrt{10} \)

The product \( \sqrt{10} \cdot \sqrt{10} \) simplifies to 10. This is based on the property of square roots that states when you multiply two identical square roots, you can combine them under a single square root, resulting in \( \sqrt{10 \cdot 10} = \sqrt{100} = 10 \). So, it’s like saying “two halves of an apple make a whole apple!” Additionally, recognizing how to manipulate square roots can be a game-changer in math problems! Common mistakes include forgetting to simplify after performing the multiplication or misapplying the square root properties. Always double-check your work to ensure accuracy!