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Miquel Las Heras · Answer 1 · 2016-11-06T17:44:21+0000

Babylonian method

Step 1 -- Take the square root you're trying to find, square it, and divide by your guess.

$√(130)^2 = 130 \\\\ (130)/(11.4022) = 11.4013085$

Step 2 -- Find the average between your guess and the new number.

$\frac{11.4013085+11.4022}2=\boxed{11.40175425}$

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