8 squared is 64 so it must be just under 8 and over, let me think... yes! 7!!
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I suspect you are really asking for between which two whole numbers does the square root of 150 lie. The square root of 150 lies between 12 and 13 (mathematically: 12 < √150 < 13).
Just check the squares of a few whole numbers. If 55 is between two of those squares, then its square root is also between the corresponding square roots.
The numbers 0 and 1 fall in between the two square roots of 140.
Hhjb