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Which two integers is $\sqrt{28}$ between? $\newline$ Choices: $\newline$ (A) $5$ and $6$ $\newline$ (B) $6$ and $7$ $\newline$ (C) $7$ and $8$ $\newline$ (D) $3$ and $4$

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Estimate positive square roots

Full solution

Q. Which two integers is

\sqrt{28}

between?

\newline

Choices:

\newline

(A)

5

and

6

\newline

(B)

6

and

7

\newline

(C)

7

and

8

\newline

(D)

3

and

4

Calculate square root: Calculate the square root of $28$ using a calculator. $\sqrt{28} \approx 5.29$ .
Determine closest integers: Determine the closest integers around $5.29$ . $5.29$ rounded down is $5$ , and rounded up is $6$ .
Compare with choices: Compare the calculated square root with the given choices. $\newline$ The closest integers to $5.29$ are $5$ and $6$ , which matches choice $(A)$ .

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