1) By using a calculator. This is the way it is usually done. In Excel, you can use the sqrt() function.
2) By experimenting. Calculate the square of different numbers; for example, 12 = 1 (too low), while 22 = 4 (too high), so the square root of 2 must be somewhere between those two. Continue experimenting, to get closer and closer to the real root.
3) There are several faster methods, but all of them have one thing in common with the method in point #2: they are iterative, meaning that you must repeat a number of steps over and over, to get closer and closer to the real square root. Calculators will also use some such iterative method.
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The value of the square root of 2 starts with 1.414. When written as a decimal number, it goes on forever.
It is no tpossible to find the square root of an unknown number. You can, however, represent it as x0.5 or √x so that the value of the square root can be evaluated when the value of x is known.
Since the square root of a number is the "number times itself that equals the original number," it makes sense that the larger the original number, then the larger the square root. The value of the square root of 2 will be greater than the value of the square root of 1.5.
It is: 2 times the square root of 2
You can use logrithms.Take your log table.Look for the log value of 2.Now divide that value by 2(you should devide by 2 if you want square root,devide by 3 if you want cubic root).Now take the antilog value.It is equal to square root.