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It's the ratio of 121 to 1, so it's rational. I think the square of any rational number is a rational number. In fact, I'm sure of it, because I know how I could prove it.
If the decimal terminates or repeats, it is rational. If it keeps on going forever, it is irrational.
I think you mean rational number. A rational number is any number that you can write as a fraction (or ratio) of two integers (+/- 1,2,3,... etc)
It is an irrational number. Actually it is a rational number. Think 2/3=.6666666, 1/9=.11111111.