Find the nearest perfect square on either side of the given value.
26
To estimate sqrt(670) to the nearest whole number, we need to look at the nearest perfect squares. The two nearest perfect squares are 625 and 676. We can compare these values to 670 to make our estimation.
We know that sqrt(670) is somewhere between 25 and 26. Next, we have to think about to which perfect square it is closer.
625+45 → 670+6 → 676
Because 670 is closer to 676, sqrt(670) is closer to sqrt(676). Therefore, the nearest whole number is 26.
