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You take a guess as to an approximate square root, for example 2, which is the square root of 2. You divide 5 by 2, to get 2.5.

The real square root will be between 2 and 2.5, so you take the average of these two (2.25). You divide 5 by 2.25 to get the next approximation.

Repeat a few times, until you have the desired accuracy.

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Q: How do you find square root of 5 by long division?
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