Which two integers is sqrt 47 between? Choices: (A)3 and 4 (B)6 and 7 (C)4 and 5 (D)7 and 8

Calculate Square Root: Calculate the square root of 47 using a calculator. Calculation: sqrt(47) ≈ 6.855.Determine Closest Integers: Determine the closest integers around 6.855. Reasoning: 6.855 rounds down to 6 and rounds up to 7.Compare with Choices: Compare the calculated square root with the given choices. Reasoning: The closest integers to 6.855 are 6 and 7, which matches choice (B).

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Which two integers is $\sqrt{47}$ between? $\newline$ Choices: $\newline$ (A) $3$ and $4$ $\newline$ (B) $6$ and $7$ $\newline$ (C) $4$ and $5$ $\newline$ (D) $7$ and $8$

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Math Problems

Grade 8

Estimate positive square roots

Full solution

Q. Which two integers is

\sqrt{47}

between?

\newline

Choices:

\newline

(A)

3

and

4

\newline

(B)

6

and

7

\newline

(C)

4

and

5

\newline

(D)

7

and

8

Calculate Square Root: Calculate the square root of $47$ using a calculator. $\newline$ Calculation: $\sqrt{47} \approx 6.855$ .
Determine Closest Integers: Determine the closest integers around $6.855$ . Reasoning: $6.855$ rounds down to $6$ and rounds up to $7$ .
Compare with Choices: Compare the calculated square root with the given choices. $\newline$ Reasoning: The closest integers to $6.855$ are $6$ and $7$ , which matches choice $(B)$ .