squares go up to infinity there is no limit, but there is no answer for the largest known square number here yet
there won't no answer for that.
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1,0002 = 1,000,000 so 1 less is 9992 = 998,001
To multiply a number by itself is commonly known as squaring the number. The product is known as the square of the number while the number now becomes the square root of the product.
Think of the biggest number you can think of. Now double it, and then square it. Double, then square it again. Probably more than that, but that doesn't help, cos its bigger than the biggest number you can think of. It depends what the tile is made of. but in short: a lot.
No. 3 is not a perfect square, so its square root is irrational.