Thinking in powers of two, aids to get faster estimates of square roots. When you are calculating just by hand, you can tolerate errors associated with this met

Thinking in powers of two, aids to get faster estimates of square roots. When you are calculating just by hand, you can tolerate errors associated with this method. For example, the number of the explication is near to 2^16, so the square root is 2^8 = 256 approximately (with relative error of 0.7% and in less of a second :) Of course, it won't work when numbers are farther of powers of two.