Problem

State the name of the property illustrated. \[ (2 \sqrt{6}) \cdot \sqrt{3}=2(\sqrt{6} \cdot \sqrt{3}) \] Choose the correct answer below. Associative Property of Multiplication Distributive Property Commutative Property of Multiplication Both Associative and Commutative Properties of Multiplication

Solution

Step 1 :The given equation is showing that the multiplication of numbers can be rearranged without changing the result. This is the definition of the associative property of multiplication.

Step 2 :The distributive property involves both addition and multiplication, and the commutative property involves the order of numbers, neither of which are relevant here.

Step 3 :Therefore, the property illustrated is the Associative Property of Multiplication.

Step 4 :Final Answer: \(\boxed{\text{Associative Property of Multiplication}}\)

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Source: https://solvelyapp.com/problems/18054/

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