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Which two integers is $\sqrt{109}$ between? $\newline$ Choices: $\newline$ (A) $13$ and $14$ $\newline$ (B) $9$ and $10$ $\newline$ (C) $12$ and $13$ $\newline$ (D) $10$ and $11$

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Estimate positive and negative square roots

Full solution

Q. Which two integers is

\sqrt{109}

between?

\newline

Choices:

\newline

(A)

13

and

14

\newline

(B)

9

and

10

\newline

(C)

12

and

13

\newline

(D)

10

and

11

Identify Perfect Squares: Step $1$ : Identify the perfect squares close to $109$ to find the integers between which $\sqrt{109}$ lies.
Calculate Square Roots: Step $2$ : Calculate the square roots of these perfect squares to determine the range for $\sqrt{109}$ .
Compare with $\sqrt{109}$ : Step $3$ : Compare $\sqrt{109}$ with the square roots calculated.

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