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

Updated: 9/26/2023

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Q: Is the product of a perfect square and a perfect square closed under multiplication?
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What you have learn in product of perfect square?

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.

Why are all the perfect squares are rational number?

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.

Is the product of two perfect squares sometimes a perfect square?

yes..always a perfect square A perfect square is the product of an integer by itself. If you multiply a perfect square x&sup2; by another perfect square y&sup2; you get x&sup2;y&sup2; = x&middot;x&middot;y&middot;y = x&middot;y&middot;x&middot;y = (x&middot;y)&sup2; which is a perfect square. Note that the product of two integers will also be an integer so x&middot;y must be an integer because if x&sup2; and y&sup2; are perfect squares x must be an integer and y must be an integer and x&middot;y is therefore a product of 2 integers.

What does a perfect square mean?

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

What is perfect square number?

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

What is a whole number that can be named as a product of a number with itself?

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

How do you Simplify the square root of 490x2?

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

Is 22 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

a perfect square

Is nine fourths a a perfect square?

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

A perfect square