Which number is closest to sqrt 26 ? Choices: (A)4.5 (B)4.7 (C)5.0 (D)6.5

Identify perfect squares: Step 1: Identify the square roots of perfect squares around 26 to estimate the square root of 26. - 5^2 = 25 - 6^2 = 36 Since 26 is closer to 25, the square root of 26 should be slightly more than 5. Estimate square root: Step 2: Compare the given choices to our estimate. - (A) 4.5 - (B) 4.7 - (C) 5.0 - (D) 6.5 Choice (C) 5.0 is the closest to our estimated square root, which is just above 5.

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Which number is closest to $\sqrt{26}$ ? $\newline$ Choices: $\newline$ (A) $4.5$ $\newline$ (B) $4.7$ $\newline$ (C) $5.0$ $\newline$ (D) $6.5$

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Math Problems

Grade 7

Estimate square roots

Full solution

Q. Which number is closest to

\sqrt{26}

\newline

Choices:

\newline

(A)

4.5

\newline

(B)

4.7

\newline

(C)

5.0

\newline

(D)

6.5

Identify perfect squares: Step $1$ : Identify the square roots of perfect squares around $26$ to estimate the square root of $26$ . $\newline$ - $5^2 = 25$ $\newline$ - $6^2 = 36$ $\newline$ Since $26$ is closer to $25$ , the square root of $26$ should be slightly more than $5$ .
Estimate square root: Step $2$ : Compare the given choices to our estimate. $\newline$ - (A) $4.5$ $\newline$ - (B) $4.7$ $\newline$ - (C) $5.0$ $\newline$ - (D) $6.5$ $\newline$ Choice (C) $5.0$ is the closest to our estimated square root, which is just above $5$ .