To find the square root of 101, the square root of the number needs to be divided into several different numbers; three should be placed on top of the square root symbol nine should be put underneath the 10 part of the number and subtracted. The last part of the number, one, should be brought down to line up with the other one that was the result of the subtraction. After using the algorithm, the square root of 101 will work out to be 10.0498756211209.
Algorithms for square roots are the only way that the square root can be found for a number that does not have a definitive square root without the use of a calculator. These algorithms are not often taught in schools and are generally only shown to students a few times, if they are shown at all. The algorithm process is lengthy, complicated and generally not needed.
Modern technology has combined to create algorithms in calculators. A number can simply be plugged into a calculator with the square root symbol being used to find the exact square root of the number. An algorithm is only helpful for people who are not using calculators to determine what the square root of a number is.