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8 September, 01:39

Which inequality represents the interval of tenths that the square root of 14 lies between?

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  1. 8 September, 03:17
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    3.7 < √14 < 3.8

    Step-by-step explanation:

    First approximation

    9 < 14 < 16, so

    3 < √14 < 4

    Second approximation

    14 is closer to 16 than to 9.

    Is √14 between 3.7 and 3.8? If so, then

    3.7² < 14 < 3.8²

    13.69 < 14 < 14.44. TRUE

    The inequality is 3.7 < √14 < 3.8.
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