SOLUTION: the square of a whole number is between 300 and 400 the number must be between?

Question 276632: the square of a whole number is between 300 and 400 the number must be between?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the square of a whole number is between 300 and 400 the number must be between?
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(300) < x^2 < 400
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Take the square root along the line to get:
sqrt(300) < x < 20
17 < x < 20
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The number is 18 or 19
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Cheers,
Stan H.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The square root of 300 is a little bigger than 17, so the next whole number after 17 is 18. So 18 is the smallest your number could be.

The square root of 400 is 20, so, depending on whether the meaning you ascribe to the word "between" includes the endpoints or not, the largest your number could be is 20, if you include the value 400, 19 otherwise.

John

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