Which number is closest to sqrt 67 ? Choices: (A)8.1 (B)8.8 (C)9.1 (D)8.7

Calculate Square Root: Step 1: Calculate the square root of 67 using a calculator. Calculation: sqrt(67) ≈ 8.185.Compare Calculated Value: Step 2: Compare the calculated square root with the given choices. Choices are 8.1, 8.8, 8.7, and 9.1. 8.185 is closest to 8.1 and 8.2, but since 8.2 isn't an option, we compare with 8.1 and 8.7.Determine Numerical Closeness: Step 3: Determine which choice is numerically closer to 8.185. Difference with 8.1 = 8.185 - 8.1 = 0.085. Difference with 8.7 = 8.7 - 8.185 = 0.515. 8.1 is closer to 8.185 than 8.7.

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Which number is closest to $\sqrt{67}$ ? $\newline$ Choices: $\newline$ (A) $8.1$ $\newline$ (B) $8.8$ $\newline$ (C) $9.1$ $\newline$ (D) $8.7$

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Math Problems

Grade 8

Estimate positive square roots

Full solution

Q. Which number is closest to

\sqrt{67}

\newline

Choices:

\newline

(A)

8.1

\newline

(B)

8.8

\newline

(C)

9.1

\newline

(D)

8.7

Calculate Square Root: Step $1$ : Calculate the square root of $67$ using a calculator. $\newline$ Calculation: $\sqrt{67} \approx 8.185$ .
Compare Calculated Value: Step $2$ : Compare the calculated square root with the given choices. $\newline$ Choices are $8.1$ , $8.8$ , $8.7$ , and $9.1$ . $\newline$ $8.185$ is closest to $8.1$ and $8.2$ , but since $8.2$ isn't an option, we compare with $8.1$ and $8.7$ .
Determine Numerical Closeness: Step $3$ : Determine which choice is numerically closer to $8.185$ . Difference with $8.1 = 8.185 - 8.1 = 0.085$ . Difference with $8.7 = 8.7 - 8.185 = 0.515$ . $8.1$ is closer to $8.185$ than $8.7$ .