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Q: Which set of number contains all perfect squares 33,99,55,6636,9,25,10081,36,25,414,25,32,49?

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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!

No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.

It is a rational number - as are ALL perfect squares.

there is an infinite number

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).

Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.

If the number inside the radical is a perfect square or a ratio of perfect squares.

perfect squares

100

81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.

If you have a number like 12 and you multiply it by the same number: 12 and the answer you get is a whole number, then the whole number is the perfect square.

There are infinitely many, just like in base 10. In any base system, the number of perfect squares is the same. Take the natural (counting) numbers 1, 2, 3, .... Squaring each of these produces the perfect squares. As there are an infinite number of natural numbers, there are an infinite number of perfect squares. The first 10 perfect squares in base 5 are: 15, 45, 145, 315, 1005, 1215, 1445, 2245, 3115, 4005, ...

Perfect squares are numbers with an odd number of factors.

' 1 ', ' 4 ', and ' 9 ' are perfect squares.

A perfect square has an odd number of factors. Factors of numbers always come in pairs -- except for perfect squares. Since the square root of a perfect square is listed only once on the list of factors, it results in a list with an odd number of factors.

101 is aprime number....

Any number squared except 0 is a perfect square so it follows that prime numbers are less common than perfect squares.

A perfect square is an integer (whole number) times itself. E.g. 3*3 = 9, or -4*-4 = 16. A negative number times a negative number is a positive number. This means a negative number times itself would be positive. It also holds true for all squares, not just perfect squares. E.g., -1.3 * -1.3 = 1.69 (which is positive).

They are the perfect squares.

perfect squares

Large perfect squares.

There is no limit to the number of perfect squares. To find a perfect square, you simply need to pick a number and square it. E.g. 7^2=49, so 49 is a perfect square. As there is infinitely many numbers to pick, and as the larger a number the larger it's square, there are infinitely many perfect squares and they just keep on getting larger!

Well, the basic idea is that every positive number is the square of some number. For example, 2 is the square of a number known as the square root of 2; 3 is the square of a number known as the square root of 3; etc. The "perfect squares" are the squares of integers. That would make all other numbers "non-perfect squares", though this term is not usually used in practice.

All positive integers which are not perfect squares.

There are 24 perfect squares between 50 and 1000.