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Which number is closest to $\sqrt{18}$ ? $\newline$ Choices: $\newline$ (A) $5.4$ $\newline$ (B) $4.8$ $\newline$ (C) $4.2$ $\newline$ (D) $4.7$

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Estimate square roots

Full solution

Q. Which number is closest to

\sqrt{18}

?

\newline

Choices:

\newline

(A)

5.4

\newline

(B)

4.8

\newline

(C)

4.2

\newline

(D)

4.7

Calculate square root: Calculate the square root of $18$ to find which choice is closest. $\newline$ $\sqrt{18} \approx 4.2426$
Compare with choices: Compare the calculated square root with the given choices. $\newline$ Choices are: (A) $5.4$ , (B) $4.8$ , (C) $4.2$ , (D) $4.7$ $\newline$ Difference with (A) = $|5.4 - 4.2426| = 1.1574$ $\newline$ Difference with (B) = $|4.8 - 4.2426| = 0.5574$ $\newline$ Difference with (C) = $|4.2 - 4.2426| = 0.0426$ $\newline$ Difference with (D) = $|4.7 - 4.2426| = 0.4574$
Identify smallest difference: Identify the smallest difference to determine the closest number. Smallest difference is with $(C) 4.2$

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