Are perfect squares closed under multiplication?
Understand the Problem
The question is asking whether the product of two perfect square numbers always results in another perfect square number. This involves understanding the properties of perfect squares and how multiplication affects these properties.
Answer
Yes, perfect squares are closed under multiplication.
The final answer is yes, perfect squares are closed under multiplication.
Answer for screen readers
The final answer is yes, perfect squares are closed under multiplication.
More Information
A set is closed under an operation if performing that operation on any two elements of the set results in another element of the set. Since the product of two perfect squares is always another perfect square, they are closed under multiplication.
Sources
- Are Perfect Squares Closed Under Multiplication? - Chegg - chegg.com
- 1961 AHSME Problems/Problem 4 - Art of Problem Solving - artofproblemsolving.com
- What Are Perfect Squares? - Splash Learn - splashlearn.com
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