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square root of 7056 by division method step by step PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS IT'S REALLY URGENT

1 Answer

4 votes
Since it is super-urgent, it is probably a test or quiz. I should not have answered the question. I will help by giving you an example. You will need to work it out using a calculator. This is the best I can do.

Well, you just divide 7056 by a guess number x.
Take the average of x and the quotient (result of division) and repeat again.

Example:
Find square-root of 700, with an initial guess of x=27.
The quotient is 25.92592592592592
Taking average of 25.92592592592592 and 27 gives 26.46296296296296.

Using new guess x=26.46296296296296 and repeat the same process, we get 26.45751367182438

Using the new guess x=26.45751367182438 and repeat the same process, we get 26.45751311064591 which is accurate to 13 places after the decimal.

If it is not clear, try finding square-root of 625 and the final answer should be 25 (exactly) after three or four repetitions.

Feel free to ask for more explanations.
User Ssedano
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