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Q: Is the product of a perfect square and a perfect square closed under multiplication?

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That the set of perfect squares is closed under multiplication. That is if x and y are any two perfect squares, then x*y is a perfect square.

A perfect square is a number that can be expressed as the product of two equal integers.

A perfect square is a whole number that can be named as a product of a number with itself.

a perfect square

Multiplication

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That the set of perfect squares is closed under multiplication. That is if x and y are any two perfect squares, then x*y is a perfect square.

A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer.Integers are rational numbers so the square [which is an integer] is a rational number.

yes..always a perfect square A perfect square is the product of an integer by itself. If you multiply a perfect square x² by another perfect square y² you get x²y² = x·x·y·y = x·y·x·y = (x·y)² which is a perfect square. Note that the product of two integers will also be an integer so x·y must be an integer because if x² and y² are perfect squares x must be an integer and y must be an integer and x·y is therefore a product of 2 integers.

Any time you multiply an integer with itself, the product is a perfect square.

A perfect square is a number that can be expressed as the product of two equal integers.

A perfect square is a whole number that can be named as a product of a number with itself.

By carrying out the multiplication, then looking for perfect squares in the factors.

No it is not. 22 is not a perfect square because it is not a product of a rational number multiplied by itself. The closest perfect square would be 25

a perfect square

No, a perfect square is a number that can be expressed as the product of two equal integers.

A perfect square

No it is not. 22 is not a perfect square because it is not a product of a rational number multiplied by itself. The closest perfect square would be 25