Well, isn't that a happy little math problem! The square root of 75 is between 8 and 9. So the two consecutive integers between which the square root of 75 lies are 8 and 9. Just like painting, math can be a beautiful and soothing experience when you take it one step at a time.
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The square root of 137 is not an integer and so does not.
The square root of 207 is between 14 and 15
Assuming you mean consecutive numbers are integers, then: The integers will be the two integers between which the square root of 1406 lies. Calculating the square root of 1406 using the "long" division method: ________3__7 _____---------- ___3|_14_06 ________9 _______--- __67|__506 ________469 ________---- _________37 The square root of 1406 is 37.<something>, thus it lies between 37 and 38, so: 1406 = 37 × 38
The square root of 17 lies between the integers 4 and 5.
The square root of 610 lies between 24 and 25.