Which expression is equivalent to \( \sqrt{200} \) ? \( 2 \sqrt{10} \) \( 10 \sqrt{2} \) \( 10 \sqrt{20} \) \( 100 \sqrt{2} \) 17

To simplify \( \sqrt{200} \), we can factor it as \( \sqrt{100 \times 2} \), which is the same as \( \sqrt{100} \times \sqrt{2} = 10\sqrt{2} \). So, one equivalent expression is \( 10\sqrt{2} \). It's fascinating how square roots work! Anytime you see a square root of a large number, especially a product, look for perfect squares to factor out. In this case, recognizing \( 100 \) helped us simplify \( \sqrt{200} \) quickly!