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square root

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quincydavis | 12:26 Fri 22nd Feb 2008 | Education
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is there a formula formula for working out square roots
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Easiest method to find square root of N is to take make a good an approximation (X) as possible. Then do this calculation:

((N/X) +X)/2 <----- call this answer A.

For further accuracy repeat the process but use the
formula:
((N/A)+A)/2 <-------- The answer should be the square root of N accurate to a few decimal places.

Sounds complicated? Try this for square root of 40 (for which answer is 4.472)

Start with estimate of 4
((20/4)+4)/2=4.5
((20/4.5)+4.5)/2= 4.472

the rule can be described as divide your number by your estimate, add your estimate, then divide by 2.
Maths is good but can't type. My example should have said square root of 20
LOL factor30 - my maths is slightly different to yours.... I get the square root of 40 to be 6.32...... I think you really meant the square root of 20
Hehe factor - snap !
The easiest and quickest way that I have found...

...is to use the square root button on your calculator!
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thanks for everyone that replied its now as clear as mud

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