the value of the square root of 17 is between 4.1 and 4.2. Which of the following is a more precise approximation of the square root of 17? between 4.12 and 4.13 between 4.13 and 4.14 between 4.1 and 4.11 between 4.14 and 4.15

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the value of the square root of 17 is between 4.1 and 4.2. Which of the following is a more precise approximation of the square root of 17? between 4.12 and 4.13 between 4.13 and 4.14 between 4.1 and 4.11 between 4.14 and 4.15

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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my calculator says its 4.123....but this question belongs to which topic ?
yes, 4.1230
It's high/low square root algorithm...

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between 4.12 and 4.13
To find the square root of 20, first note that 42 is 16, and that 52 is 25. As 16 < 20 < 25, the square root of 20 must be between 4 and 5. Guessing 4.5 yields 20.25 and is too high. The next step is to guess 4.4, yielding 19.36 and is too low. Therefore, as before, the square root of 20 must be in between 4.4 and 4.5. This pattern is continued until the desired number of decimal places is achieved.

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