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use the Babylonian method for your next estimate for square root 130 by using 11.4022 as your guess. what is your result

Sagot :

Babylonian method

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

[tex]\sqrt{130}^2 = 130 \\\\ \frac{130}{11.4022} = 11.4013085[/tex]

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

[tex]\frac{11.4013085+11.4022}2=\boxed{11.40175425}[/tex]