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Q: What are the perfect squares of the numbers 5 through 9?
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What is the number of perfect squares that exist in base 5 system?

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, ...


Ralph likes 25 but not 24 he likes 400 but not 300 he likes 144 but not 145?

Ralph likes numbers that are perfect squares but not numbers that are one less than a perfect square. Perfect squares are numbers that can be expressed as the product of an integer multiplied by itself (e.g. 25 = 5 x 5, 400 = 20 x 20, 144 = 12 x 12). Numbers that are one less than a perfect square do not fit this pattern (e.g. 24, 300, 145). Ralph's preference seems to be for the neat, symmetric nature of perfect squares.


Are the numbers 25 and 49 relativley prime numbers?

No - prime numbers are numbers that can only be divided by 1 and itself. 25 and 49 are examples of perfect squares 5*5 = 25 and 7*7=49


Is 56 a perfect square?

No because there is no number that can be multiplied by itself to get 56. Examples of perfect squares: 4*4= 16 8*8= 64 5*5= 25 16, 64, and 25 are all perfect squares because you can multiply one number by it's self to get those numbers.


What is an answer to a 4x4 magic squares with 10-5 numbers?

swer in a 4x4 magic squares with 10-=25 numbers in each column?