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Which two integers is $\sqrt{51}$ between? $\newline$ Choices: $\newline$ (A) $9$ and $10$ $\newline$ (B) $8$ and $9$ $\newline$ (C) $7$ and $8$ $\newline$ (D) $6$ and $7$

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Estimate square roots

Full solution

Q. Which two integers is

\sqrt{51}

between?

\newline

Choices:

\newline

(A)

9

and

10

\newline

(B)

8

and

9

\newline

(C)

7

and

8

\newline

(D)

6

and

7

Estimate square root: Step $1$ : Estimate the square root of $51$ by comparing it to perfect squares.
Check proximity to $7$ or $8$ : Step $2$ : Check if the square root of $51$ is closer to $7$ or $8$ by calculating the square roots of $49$ and $64$ .

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