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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.

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โˆ™ 2016-09-03 21:54:13
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Q: Is the product of two perfect squares sometimes a perfect square?
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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.

True or false If a number is the product of two perfect squares it has a rational square root?


How are square roots and perfect squares related?

The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.

What are some perfect squares?

A perfect square (commonly square number) is an integer that is the square of another integer. That is to say, a perfect square is the product of any whole number multiplied by itself.Commonly remembered perfect squares include, 1 (1x1), 4 (2x2), 9 (3x3), 16 (4x4) and 25 (5x5).

What is different about a perfect square and a difference of two squares?

"Perfect square" means that you square a whole number. Sometimes simply called "square" or "square number". "Difference of two squares" is the result of subtracting one such square from another. In most cases, the difference will not itself be a square.

Is zero is the perfect square?

No. There are infinitely many perfect squares so there is no "the" perfect square.

Is zero perfect square?

No. Convention defines perfect squares as squares of positive integers.

Is 42 a perfect square?

No- the closest perfect squares are 36 (perfect square of 6) and 49 (perfect square of 7)

Is 188 a perfect square?

No, 188 is not a perfect square. The nearest perfect squares as 169 and 196.

What has integer's as square roots?

perfect squares

How are square roots and perfect squares the same?

They are not.

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