6 and 7.
The square root of 37 is 6.0827625, so the two whole numbers that are closest are 6 and 7.
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Square root of 59 is 7.681145748 Nearest whole number would be 8
No. Square roots of whole numbers that don't result in whole numbers (e.g. the square root of 64 is 8), are considered to be "irrational numbers".
The square root of 61.93 is irrational. Since rational numbers are infinitely dense there cannot be a closest rational.
The square root of 47 lies between the consecutive whole numbers 6 and 7.
The square root of 13 is approximately 3.6056. The whole numbers that the square root of 13 lies between are 3 and 4. This is because the square of 3 is 9 (less than 13) and the square of 4 is 16 (greater than 13), indicating that the square root of 13 is between 3 and 4.