## 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

in progress 0
1 year 2021-09-05T07:54:48+00:00 1 Answers 17 views 0

## Answers ( )

1. ### 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

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