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estimate the value of the square root of 13 to the nearest tenth without using a calculator

Oct 2nd, 2014

Since, 13 is between 9 and 16, both perfect squares, the √13 is between 3 and 4, which

are the square roots of 9 and 16. To determine the tenths place, divide the difference

of the number (13) and the lower perfect square (9) by the difference between the two

13-9/16-9=4/7 

=0.5(about)

Plotting this approximate value on the number line would produce a value near 3.6

(rounding to the nearest tenth) since 13 is near the middle, between 9 and 16.

so, the answer will be 3.6 



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Oct 2nd, 2014

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Oct 2nd, 2014
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