What is the square root of 8 to the nearest integer?

At first note that ##\sqrt(4)=2## and ##\sqrt(9)=3##, so ##\sqrt(8)## will be between ##2## and ##3##. With an easy product we see ##2.5 \cdot 2.5 = 6.25## so ##\sqrt(6.25)=2.5## and ##\sqrt(8)## is between ##2.5## and ##3##, so rounding to the nearest integer gives us ##3##.