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Which two integers is $\sqrt{31}$ between? $\newline$ Choices: $\newline$ (A) $3$ and $4$ $\newline$ (B) $6$ and $7$ $\newline$ (C) $5$ and $6$ $\newline$ (D) $2$ and $3$

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Estimate positive and negative square roots

Full solution

Q. Which two integers is

\sqrt{31}

between?

\newline

Choices:

\newline

(A)

3

and

4

\newline

(B)

6

and

7

\newline

(C)

5

and

6

\newline

(D)

2

and

3

Identify Perfect Squares: Step $1$ : Identify the perfect squares closest to $31$ .
Calculate Square Roots: Step $2$ : Calculate the square roots of $25$ and $36$ .
Determine Integer Range: Step $3$ : Determine between which integers $\sqrt{31}$ falls.

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