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Which two integers is $\sqrt{140}$ between? $\newline$ Choices: $\newline$ (A) $13$ and $14$ $\newline$ (B) $10$ and $11$ $\newline$ (C) $12$ and $13$ $\newline$ (D) $11$ and $12$

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Estimate positive and negative square roots

Full solution

Q. Which two integers is

\sqrt{140}

between?

\newline

Choices:

\newline

(A)

13

and

14

\newline

(B)

10

and

11

\newline

(C)

12

and

13

\newline

(D)

11

and

12

Identify Perfect Squares: Step $1$ : Identify the perfect squares near $140$ to estimate its square root.
Calculate Integers: Step $2$ : Calculate the square roots of $121$ and $169$ to find the integers between which $\sqrt{140}$ lies.
Determine Position: Step $3$ : Determine the position of $\sqrt{140}$ relative to $11$ and $13$ .

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