How do you take out Square Root? - Answers

The simplest of all, of course, is to use a calculator. All scientific and many basic calculators have the square root function built in. If the number is a perfect square then you can find the square root by "reverse engineering". If 6*6 = 36 then the square root of 36 is 6 (or -6). This will only work for perfect squares (or ratios of perfect squares, such as 4/9), and not for other numbers. Alternatives to the above two are more complicated. There is a method which is a bit like long division but you have to adjust the divisor at each step. It is, unfortunately, too complicated (for me) to explain here. You can use numerical methods (eg Newton-Raphson) to make an estimate and then improve on it. You can also use logarithms if you can lay your hands on logarithm tables. If you want to find the square root of x, find log(x), divide that number by 2 and then look up the antilog of the answer. Easy if you have log tables; impossible if you don't.