2) \( \sqrt{8} \cdot \sqrt{2} \)
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The Deep Dive
Did you know that the expression \( \sqrt{8} \cdot \sqrt{2} \) can be simplified using the property of square roots that says \( \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b} \)? So, \( \sqrt{8} \cdot \sqrt{2} \) can be rewritten as \( \sqrt{8 \cdot 2} = \sqrt{16} \), which equals 4. Now, if you're ever faced with a more complicated product involving square roots, remember to simplify each square root first wherever possible! This can save you from some common mistakes, like trying to multiply directly and missing out on easier simplifications. Keep an eye out for perfect squares!