Whe simplify the square roet. Assume all variables represent positive numbers, If the square root is already simplified, so state. \( \sqrt{12} \) Select the correct cholce below and, if necessary, fill in the answer box to complete your choice. A. \( \sqrt{12}=\square \) (Type an exact answer, using radicals as needed.) B. The expression is already simplified.

To simplify \( \sqrt{12} \), we can break it down into its prime factors: \( 12 = 4 \times 3 \). Since the square root of 4 is 2, we can rewrite the expression as \( \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3} \). So the answer is: A. \( \sqrt{12} = 2\sqrt{3} \) Now let’s sprinkle in some fun facts! Did you know? The concept of square roots dates all the way back to ancient Babylon, around 2000 BC. They had a pretty nifty way of estimating roots using geometrical methods, which laid the groundwork for our modern understanding! Another quirky tidbit: Square roots aren’t just used in math class; they’re also found in real-world applications like calculating areas! For instance, if you want to know the side length of a square with an area of 12 square units, you’d simply take the square root of 12 (remember, that’s \( 2\sqrt{3} \), making the side length approximately 3.46 units)! How’s that for a practical math moment?