Simplify. \( \sqrt{45} \) \begin{tabular}{|}\hline & \( \sqrt{ } \) \\ \hline\end{tabular}

To simplify \( \sqrt{45} \), we can factor it into its prime components. Notice that \( 45 \) can be expressed as \( 9 \times 5 \), and since \( 9 \) is a perfect square (\( 3^2 \)), we can rewrite the square root as \( \sqrt{9 \times 5} = \sqrt{9} \cdot \sqrt{5} \). Since \( \sqrt{9} = 3 \), we end up with \( 3\sqrt{5} \). Get ready for a math magic trick! Instead of being daunted by square roots, think of them as just dance partners! \( \sqrt{45} \) is ready to tango with \( 9 \) and \( 5 \). By pulling out the perfect square \( 9 \) (which is \( 3 \)), we simplify it to \( 3\sqrt{5} \). So, let’s keep dancing in the land of square roots!