(1) \( 3 \sqrt{864} \)
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The Deep Dive
Did you know that \( \sqrt{864} \) can be simplified? It breaks down into \( \sqrt{144 \times 6} \), where \( \sqrt{144} \) equals 12. So, \( 3 \sqrt{864} = 3 \times 12 \sqrt{6} = 36 \sqrt{6} \). You just turned a complicated square root into a more manageable expression! Now imagine applying this knowledge in real-world situations. If you're an engineer needing precise measurements or an architect tackling spatial designs, being able to simplify square roots helps to make calculations faster and more accurate. That way, you can spend less time on math and more on building awesome structures!