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

Calculate Square Root: Calculate the square root of 72 using a calculator. Calculation: sqrt(72) ≈ 8.485Compare with Choices: Compare the calculated square root with the given choices. Choices: (A) 9.1, (B) 7.8, (C) 8.4, (D) 8.8 8.485 is closest to 8.4 and 8.8. Check which is closer. Difference with 8.4: 8.485 - 8.4 = 0.085 Difference with 8.8: 8.8 - 8.485 = 0.315Identify 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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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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Math Problems

Grade 8

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 $8.4$ .