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Which number is closest to $\sqrt{72}$ ? $\newline$ Choices: $\newline$ (A) $9.1$ $\newline$ (B) $7.8$ $\newline$ (C) $8.4$ $\newline$ (D) $8.8$

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Estimate positive square roots

Full solution

Q. Which number is closest to

\sqrt{72}

?

\newline

Choices:

\newline

(A)

9.1

\newline

(B)

7.8

\newline

(C)

8.4

\newline

(D)

8.8

Calculate Square Root: Calculate the square root of $72$ using a calculator. $\newline$ Calculation: $\sqrt{72} \approx 8.485$
Compare with Choices: Compare the calculated square root with the given choices. $\newline$ Choices: (A) $9.1$ , (B) $7.8$ , (C) $8.4$ , (D) $8.8$ $\newline$ $8.485$ is closest to $8.4$ and $8.8$ . Check which is closer. $\newline$ Difference with $8.4$ : $8.485 - 8.4 = 0.085$ $\newline$ Difference with $8.8$ : $7.8$ $0$
Identify Closest Choice: Identify the closest choice based on the smallest difference. Since $0.085$ (difference with $8.4$ ) is less than $0.315$ (difference with $8.8$ ), the closest number is $8.4$ .

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