Two consecutive whole numbers that 106 square root lies between

Using a calculator, the square root of 106 is roughly equal to the decimal number 10.2956 so the two whole numbers are 10 and 11

If you are unable to use a calculator or don't have one, then you can list out the set of perfect squares: {1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121}

We can see that 106 lies between 100 and 121
100 = 10^2
121 = 11^2
so that shows the square root of 106 lies between 10 and 11