Grade 11Trigonometry
how to find square root quicklyof two or three numbers
how to find square root quickly
of two or three numbers
1 Answer
apurv
Though this method will give you approximate value of square root yet this is very helpful most of the times :
Let A be the number whose square root you want to find and let B be a INTEGER nearest to A whose square root we know then
Sqrt(A) = Sqrt(B) + (A-B)/(2sqrt(B))
This formula is derived with the help derivatives.
Suppose if you need to find the square root of 79 then the nearest integer to 79 whose square root we know is 81 so here A = 79 and B=81
On substituting A and B in formula you can find square root of 79 very easily.
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