An easier way to calculate the square root by hand
There are several ways to calculate the square root of a number.
Heres one:
(g/2)+(a/2g)
where:
a= the number you want the square root of
g= an approximation of the square root(the more accurate the better)
e.g to find square root of 60
a= 60
g= 7.8 (8 squared is 64)
(7.8/2)+(60/(2X7.8))
= 3.9+(60/15.6)
= 3.9+3.846
= 7.746
If you put the new approximation in again it will get more accurate
a= 60
g= 7.746
(7.746/2)+(60/(2X7.746))
= (3.873)+(60/15.492)
= 3.873+3.872966
= 7.745966
There you have the square root of 60
(actual square root of 60 is 7.74596669241483)
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| ACE here, welcome to H2G2, researcher 209151... | Nov 20, 2002 |
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mad matician
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