Estimating Square Roots

Hi!!!!!!!! Today we are going to estimate the square root of 108. First we set up the boundaries. The lower boundary is 100 which is 10*10. The higher boundary is 121 which is 11*11. Now we find the midpoint. The number in between 10 and 11 is 10.5. 10.5+100 is 110.5 so we know that the square root of 108 can’t be 5 or above. 10.1 sounds too low and 10.2 could be estimated to be too low also. 10.3 or 10.4  sound like a good estimate. Now we put the number in the calculator and get about 10.39 which rounds up to 10.4.  Thank you for reading my post about estimating square roots.

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