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Which two integers is $\sqrt{33}$ between? $\newline$ Choices: $\newline$ (A) $3$ and $4$ $\newline$ (B) $2$ and $3$ $\newline$ (C) $6$ and $7$ $\newline$ (D) $5$ and $6$

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Estimate positive square roots

Full solution

Q. Which two integers is

\sqrt{33}

between?

\newline

Choices:

\newline

(A)

3

and

4

\newline

(B)

2

and

3

\newline

(C)

6

and

7

\newline

(D)

5

and

6

Calculate square root: Calculate the square root of $33$ using a calculator. $\newline$ Calculation: $\sqrt{33} \approx 5.74$ .
Determine closest integers: Determine the closest integers around $5.74$ . Reasoning: $5.74$ rounded down is $5$ , and rounded up is $6$ .
Identify correct choice: Identify the correct choice from the given options. $\newline$ Reasoning: The integers $5$ and $6$ are the closest to $5.74$ , matching choice (D).

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