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Which two integers is $\sqrt{28}$ between? $\newline$ Choices: $\newline$ (A) $3$ and $4$ $\newline$ (B) $7$ and $8$ $\newline$ (C) $8$ and $9$ $\newline$ (D) $5$ and $6$

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Estimate positive square roots

Full solution

Q. Which two integers is

\sqrt{28}

between?

\newline

Choices:

\newline

(A)

3

and

4

\newline

(B)

7

and

8

\newline

(C)

8

and

9

\newline

(D)

5

and

6

Calculate Square Root: Calculate the square root of $28$ using a calculator. $\sqrt{28} \approx 5.29$ .
Identify Closest Integers: Identify the integers closest to $5.29$ . $5.29$ rounded down is $5$ . $5.29$ rounded up is $6$ . The integers closest to $5.29$ are $5$ and $6$ .
Compare with Choices: Compare the calculated square root with the given choices. $\newline$ The closest integers, $5$ and $6$ , match choice $(D)$ $5$ and $6$ .

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