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How do you find value of root 2?

Updated: 9/23/2023
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10y ago

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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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Q: How do you find value of root 2?
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