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Which two integers is $\sqrt{29}$ between? $\newline$ Choices: $\newline$ (A) $4$ and $5$ $\newline$ (B) $6$ and $7$ $\newline$ (C) $7$ and $8$ $\newline$ (D) $5$ and $6$

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Estimate positive square roots

Full solution

Q. Which two integers is

\sqrt{29}

between?

\newline

Choices:

\newline

(A)

4

and

5

\newline

(B)

6

and

7

\newline

(C)

7

and

8

\newline

(D)

5

and

6

Calculate Square Root: Calculate the square root of $29$ using a calculator. $\newline$ Calculation: $\sqrt{29} \approx 5.385$ .
Determine Closest Integers: Determine the closest integers around $5.385$ . $5.385$ rounded down is $5$ , and rounded up is $6$ .
Identify Correct Choice: Identify the correct choice based on the calculated integers. The integers $5$ and $6$ are the closest to $\sqrt{29}$ , so the correct choice is (D) $5$ and $6$ .

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