Question

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

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

Answer 1

Answer: C) 7 and 8

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Step-by-step 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\\\\√(49) < √(52) < √(64)\\\\7 < √(52) < 8\\\\`

This shows that
`√(52)` is between 7 and 8

A calculator helps confirm this

`√(52) \approx 7.2111\\\\`