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Earn +20 ptsQ: How do you compute square roots mentally?
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How do you compute square root of 2 manually?
See the related link for a detailed description of a manual method for calculating square roots.
Are compatible numbers difficult to compute mentally?
No.
Why do you say approximate rather than compute for square roots?
Because many square roots are irrational numbers that can not be computed to an exact value for lack of space to continue an infinite string of digits after the decimal point.
Why do you say approximate rather than compute when finding square roots when using a calculator or spreadsheet?
Well, it's both: you're using a machine to compute an approximation. Why isn't it exact? Most square roots (such as the square root of two) are irrational numbers, so their decimal representation requires an infinite number of digits. We humans have to have finite answers, hence we round off.
Are numbers that are easy to compute mentally?
It depends on your computational skills.
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