Which number is closest to sqrt 13 ? Choices: (A)3.6 (B)2.9 (C)3.1 (D)3.2

Understand the problem: Step 1: Understand the problem. We need to find which number among the choices is closest to the square root of 13. Calculate square root: Step 2: Calculate the square root of 13 using a calculator for accuracy. sqrt(13) ≈ 3.605551275. Compare with choices: Step 3: Compare the calculated square root with the given choices. - Difference with (A) 3.6 is |3.605551275 - 3.6| = 0.005551275 - Difference with (B) 2.9 is |3.605551275 - 2.9| = 0.705551275 - Difference with (C) 3.1 is |3.605551275 - 3.1| = 0.505551275 - Difference with (D) 3.2 is |3.605551275 - 3.2| = 0.405551275 Identify smallest difference: Step 4: Identify the smallest difference. The smallest difference is with choice (A) 3.6.

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Which number is closest to $\sqrt{13}$ ? $\newline$ Choices: $\newline$ (A) $3.6$ $\newline$ (B) $2.9$ $\newline$ (C) $3.1$ $\newline$ (D) $3.2$

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Math Problems

Grade 7

Estimate square roots

Full solution

Q. Which number is closest to

\sqrt{13}

\newline

Choices:

\newline

(A)

3.6

\newline

(B)

2.9

\newline

(C)

3.1

\newline

(D)

3.2

Understand the problem: Step $1$ : Understand the problem. We need to find which number among the choices is closest to the square root of $13$ .
Calculate square root: Step $2$ : Calculate the square root of $13$ using a calculator for accuracy. $\sqrt{13} \approx 3.605551275$ .
Compare with choices: Step $3$ : Compare the calculated square root with the given choices. $\newline$ - Difference with (A) $3.6$ is $|3.605551275 - 3.6| = 0.005551275$ $\newline$ - Difference with (B) $2.9$ is $|3.605551275 - 2.9| = 0.705551275$ $\newline$ - Difference with (C) $3.1$ is $|3.605551275 - 3.1| = 0.505551275$ $\newline$ - Difference with (D) $3.2$ is $|3.605551275 - 3.2| = 0.405551275$
Identify smallest difference: Step $4$ : Identify the smallest difference. The smallest difference is with choice (A) $3.6$ .