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Which two integers is $\sqrt{78}$ between? $\newline$ Choices: $\newline$ (A) $7$ and $8$ $\newline$ (B) $10$ and $11$ $\newline$ (C) $8$ and $9$ $\newline$ (D) $6$ and $7$

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Estimate square roots

Full solution

Q. Which two integers is

\sqrt{78}

between?

\newline

Choices:

\newline

(A)

7

and

8

\newline

(B)

10

and

11

\newline

(C)

8

and

9

\newline

(D)

6

and

7

Identify Perfect Squares: Step $1$ : Identify the perfect squares closest to $78$ to estimate its square root.
Determine Closest Value: Step $2$ : Determine if the square root of $78$ is closer to $8$ or $9$ .
Calculate Approximate Value: Step $3$ : Calculate the approximate value of $\sqrt{78}$ using a calculator for more accuracy.
Compare Calculated Results: Step $4$ : Compare the calculated square root with the integer options provided.

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