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Q: What two perfect squares when subtracted equalanother perfect square?

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The word "difference" implies subtraction. The word "squares" implies a perfect square term or number. To recognize the "difference of squares" look for 2 perfect square terms, one being subtracted from the other. Ex. x2 - 16. "x" is being squared and 16 is a perfect square. They are being subtracted. Factors: (x+4)(x-4)

The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36

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

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

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

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.

perfect squares. your sequence is the square of 1,2,3,4, etc

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

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

None. Perfect squares, by definition, are the squares of counting numbers and these cannot be fractions.

A perfect square is a rational number that is the square of another rational number. 9, 16, 25, etc., are perfect squares of 3, 4, 5, etc., and X2 + 6X + 9 is a perfect square of (X + 3).

It does not matter! There are more numbers that are not perfect squares than there are perfect squares and the universe has not ground to a screeching halt!

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Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.

No. 2.25 is not a perfect square but it is rational.

No, it is not. For it to be a perfect square, the square root of it would have to be an integer, but √120 ≈ 10.954. 100 and 121 are perfect squares nearest to 120. ■

No. The main reason why is because a square is perfect. Not all quadrilaterals are perfect squares

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They are not.

perfect squares

perfect squares

The perfect squares up to 4 are 1 and 4.

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