6 Simplify a \( \sqrt{9 y-18} \)

To simplify \( \sqrt{9y - 18} \), first factor out the common term inside the square root. You can rewrite it as \( \sqrt{9(y - 2)} \). Now, applying the square root to the factors gives us \( \sqrt{9} \cdot \sqrt{y - 2} \), which simplifies to \( 3\sqrt{y - 2} \). So, the simplified form is \( 3\sqrt{y - 2} \). When dealing with square roots and simplification, a common mistake is overlooking factors that can be removed. Always check to see if there are any common factors inside the square root before simplifying! This not only makes your answer neater but can also help avoid errors in further calculations.