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Answer :
Final answer:
The square root of 5x² ∙ 25 is equivalent to 5(5x) = 25x using the product property of roots.
Explanation:
The product property of roots states that if a ∙ b = c, then the square root of a ∙ the square root of b = the square root of c. Applying this property to the expression 5x² ∙ 25, we can take the square root of each factor separately. The square root of 5x² is √(5x) and the square root of 25 is 5. Therefore, the equivalent expression is 5(5x) = 25x.
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