1. The problem asks us to explain the Product Rule for Square Roots in our own words. 2. The Product Rule states that for any nonnegative real numbers $a$ and $b$, the square root of their product is equal to the product of their square roots. 3. Mathematically, this is written as: $$\sqrt{ab} = \sqrt{a} \cdot \sqrt{b}$$ 4. This means if you start with the square root of a product $ab$, you can rewrite it as the multiplication of the square roots of $a$ and $b$ separately. 5. Conversely, if you multiply the square roots of $a$ and $b$, you get the square root of their product. 6. This rule only works when $a$ and $b$ are nonnegative because square roots of negative numbers are not real. 7. In simple terms: "The square root of a product is the product of the square roots." 8. Example: If $a=4$ and $b=9$, then $$\sqrt{4 \cdot 9} = \sqrt{36} = 6$$ and $$\sqrt{4} \cdot \sqrt{9} = 2 \cdot 3 = 6$$ Both sides equal 6, confirming the rule. This completes the explanation of the Product Rule for Square Roots.