Question

Using the ratio of perfect squares method, what is square root of 41 rounded to the nearest hundredth?

Answer 1

Hello,

I haven't found the ration of perfect squares methode unless it is to know all square root of numbers <100 (by heart)

As 41 is a primer number, I propose you an other old method (de Héron d'alexandrie)

Explanation:

x²=a
==>2x²=x²+a
==>2x=(x²+a)/x
==>2x=x+a/x
==>x=(x+a/x)/2 that is the recursive formula for the algorithm

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