The product property of radicals states that the square root of a product is equal to the product of the square roots. This can be expressed as $$\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$$ for non-negative numbers a and b. This property is essential for simplifying radical expressions and solving equations involving square roots and higher-order roots, making it a fundamental concept in understanding how to work with radicals and rational exponents.
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