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Which two integers is $\sqrt{142}$ between? $\newline$ Choices: $\newline$ (A) $8$ and $9$ $\newline$ (B) $11$ and $12$ $\newline$ (C) $9$ and $10$ $\newline$ (D) $12$ and $13$

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Estimate positive and negative square roots

Full solution

Q. Which two integers is

\sqrt{142}

between?

\newline

Choices:

\newline

(A)

8

and

9

\newline

(B)

11

and

12

\newline

(C)

9

and

10

\newline

(D)

12

and

13

Identify perfect squares: Step $1$ : Identify the perfect squares close to $142$ to find the integers between which $\sqrt{142}$ lies.
Calculate square roots: Step $2$ : Calculate the square roots of $121$ and $169$ to determine the integer range.
Determine integer range: Step $3$ : Determine between which two integers $\sqrt{142}$ falls.

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