Problem

State the name of the property illustrated. \[ (9 \sqrt{3}) \cdot \sqrt{2}=9(\sqrt{3} \cdot \sqrt{2}) \] Choose the correct answer below. Distributive Property Both Associative and Commutative Properties of Multiplication Associative Property of Multiplication Commutative Property of Multiplication

Solution

Step 1 :The given equation is showing that the multiplication of 9 and the product of square root of 3 and square root of 2 is equal to the product of 9 and square root of 3 and square root of 2. This is showing that the multiplication operation is associative, that is, the way in which numbers are grouped in an operation does not change the result of the operation. Therefore, the property illustrated is the Associative Property of Multiplication.

Step 2 :Final Answer: The property illustrated is the \(\boxed{\text{Associative Property of Multiplication}}\).

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Source: https://solvelyapp.com/problems/18124/

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