Might it be the golden ratio as well................like 1.6??  Too much repetition is no good............

square root(10) =

3.16227766017

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More info

Numbers - Square Roots - Examples - Math.com

www.math.com/school/subject1/lessons/S1U1L9EX.html

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Example: Calculate the square root of 10 ( ) to 2 decimal places. 1. Find the two perfect square numbers it lies between.