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