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Which two integers is $\sqrt{135}$ between? $\newline$ Choices: $\newline$ (A) $11$ and $12$ $\newline$ (B) $8$ and $9$ $\newline$ (C) $12$ and $13$ $\newline$ (D) $9$ and $10$

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Estimate positive and negative square roots

Full solution

Q. Which two integers is

\sqrt{135}

between?

\newline

Choices:

\newline

(A)

11

and

12

\newline

(B)

8

and

9

\newline

(C)

12

and

13

\newline

(D)

9

and

10

Identify Perfect Squares: Step $1$ : Identify the perfect squares near $135$ to estimate its square root.
Calculate Square Roots: Step $2$ : Calculate the square roots of $121$ and $144$ to find the integers between which $\sqrt{135}$ lies.
Determine Position: Step $3$ : Determine the position of $\sqrt{135}$ relative to $11$ and $12$ .

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