Simplify. \( \sqrt{18} \)

To simplify \( \sqrt{18} \), we can break it down into its prime factors. Since \( 18 = 9 \times 2 \) and \( 9 \) is a perfect square, we can rewrite \( \sqrt{18} \) as \( \sqrt{9 \times 2} \). This simplifies to \( \sqrt{9} \times \sqrt{2} \), which equals \( 3\sqrt{2} \). So, \( \sqrt{18} = 3\sqrt{2} \). Additionally, if you were to compute the decimal value of \( \sqrt{18} \), you would find it to be approximately \( 4.24 \). This can be useful in practical applications like geometry, where understanding dimensions in decimal form can ease calculations. So, whether you stick with \( 3\sqrt{2} \) for precise representation or use the approximate decimal for real-world measurements, you’re good to go!