The value of StartRoot 52 EndRoot. is between which two integers? 5 and 6 6 and 7 7 and 8 8 and 9

Question

The value of StartRoot 52 EndRoot. is between which two integers?

5 and 6
6 and 7
7 and 8
8 and 9

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bonexptip 1 week 2021-09-05T07:54:48+00:00 1 Answers 0 views 0

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    2021-09-05T07:56:18+00:00

    Answer:  C) 7 and 8

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    Explanation:

    When you list out the perfect squares, notice that 49 and 64 are on that list.

    These are values we focus on because 49 < 52 < 64

    We’ll apply the square root to all three sides

    49 < 52 < 64\\\\\sqrt{49} < \sqrt{52} < \sqrt{64}\\\\7 < \sqrt{52} < 8\\\\

    This shows that \sqrt{52} is between 7 and 8

    A calculator helps confirm this

    \sqrt{52} \approx 7.2111\\\\

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