Answer the following questions related to the product rule of square roots.

MATHEMATICS · Multi-part · CBSE · Mathematics · A Square and A Cube · A Square and A Cube

Problem

Answer the following questions related to the product rule of square roots. (i) State the product rule for square roots. (ii) Explain, with reference to the definition of the square root, why the radicands must be non-negative for the rule to hold. (iii) Using the rule, rewrite 7487\sqrt{48} as a single square root. Does this change the numerical value of the expression? Give reason.

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