No number lies "between" a single number; you can say that a number lies between two other numbers.
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Oh, dude, you're really making me do math right now? Ok, fine. The square root of 92 is between 9 and 10, so the two numbers between the square root of 92 are 9 and 10. But like, who really cares, right?
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).
10 and 11
Hhjb
8 and 9
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.