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www.wikihow.com/Calculate-a-Square-Root-by-Hand

To calculate a square root by hand, divide the square root into its perfect square factors. If it doesn’t divide evenly, reduce the square root to its lowest common factors. Take the square root of the factors or reduce them to their simplest terms.

sciencing.com/calculate-square-root-hand-5081134.html

Take the number you wish to find the square root of, and group the digits in pairs starting from the right end. For example, if you want to calculate the square root of 8254129, write it as 8 25 41 29. Then, put a bar over it as when doing long division.

www.homeschoolmath.net/teaching/square-root-algorithm.php

In addition to giving a way to find square roots by hand, this method can be used if all you have is a cheap 4-function calculator. If students can get square roots manually, they will not find square roots to be so mysterious. Also, this method is a good first example of an itterative solution of a problem.

Definition: This describes a "long hand" or manual method of calculating or extracting square roots. Calculation of a square root by hand is a little like long-hand division. Suppose you need to find the square root of 66564. Set up a "division" with the number under the radical.

Square roots by hand — a totally unnecessary, but awesome thing to know! ... I know that if sometime down the road someone asks me to calculate a square root, I don’t have to depend purely on ...

www.h2g2.com/approved_entry/A827453

A brief glimpse of a hand-calculated square root problem appears very much like a long division problem, and some aspects of the procedure are similar. Step One - The Set-up To illustrate these steps, we will find the square root of 1,234.56.

www.quora.com/What-is-the-method-to-calculate-a-square-root-by-hand

For the square root there is a very old method, called the Babylonian Method, which turns out to be much faster than the rule that is so well known and so cumbersome that it is taught in school. In fact I do not remember what that rule is like bec...

kipkis.com/Calculate_a_Square_Root_by_Hand

In the days before calculators, students and professors alike had to calculate square roots by hand. Several different methods have evolved for tackling this daunting process, some giving a rough approximation, others giving an exact value.