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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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Mathematics
1 year
2021-09-05T07:54:48+00:00
2021-09-05T07:54:48+00:00 1 Answers
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Answers ( )
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
[tex]49 < 52 < 64\\\\\sqrt{49} < \sqrt{52} < \sqrt{64}\\\\7 < \sqrt{52} < 8\\\\[/tex]
This shows that [tex]\sqrt{52}[/tex] is between 7 and 8
A calculator helps confirm this
[tex]\sqrt{52} \approx 7.2111\\\\[/tex]