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Which two integers is $\sqrt{37}$ between? $\newline$ Choices: $\newline$ (A) $6$ and $7$ $\newline$ (B) $4$ and $5$ $\newline$ (C) $3$ and $4$ $\newline$ (D) $8$ and $9$

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Estimate positive square roots

Full solution

Q. Which two integers is

\sqrt{37}

between?

\newline

Choices:

\newline

(A)

6

and

7

\newline

(B)

4

and

5

\newline

(C)

3

and

4

\newline

(D)

8

and

9

Calculate Square Root: Step $1$ : Calculate the square root of $37$ using a calculator. $\newline$ Calculation: $\sqrt{37} \approx 6.08$ .
Identify Closest Integers: Step $2$ : Identify the integers closest to $6.08$ . $6.08$ rounded down is $6$ . $6.08$ rounded up is $7$ . The integers closest to $6.08$ are $6$ and $7$ .
Compare with Choices: Step $3$ : Compare the calculated square root with the given choices. $\sqrt{37} \approx 6.08$ is between $6$ and $7$ . Correct choice from the options is (A) $6$ and $7$ .

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