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

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All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.

No, 8 is a multiple of 4 and NOT a perfect square.

perfect squares

100 is a perfect square of 10.The square root of 1000 is 31.6blahblahblah, so the square of 31 is less than 1000 and the square of 32 is more than 1000.That means the perfect squares between (not including) 100 and 1000 are the squares of 11 through 31, a total of 21 different values.

They are called perfect squares.

Related questions

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...

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

"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.

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

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

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

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

perfect squares

They are not.

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