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16 November, 10:59

Find two consecutive whole numbers that the square root of 105 lies between

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  1. 16 November, 14:10
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    Answer: 10 and 11, also - 11 and - 10

    Sqrt 100 is well known to be 10

    Sqrt 121 is 11

    Step-by-step explanation:

    Positive Sqrt is monotone increasing

    So Sqrt 105 is between sqrt 100 and sqrt 121

    Second answer

    Sqrt 100 is less well known to also be - 10

    Negative sqrt is monotone decreasing

    Sqrt 121 is also - 11

    Sqrt 105 is also between - 121 and - 100
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