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!
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The perfect square of 75 is 5625. Not sure of the relevance of "greatest", though.
8747
It is not possible for a perfect square to have just 2 terms.
650 has no factor that is a perfect square, other than 1.
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