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Which two integers is $\sqrt{38}$ between? $\newline$ Choices: $\newline$ (A) $6$ and $7$ $\newline$ (B) $9$ and $10$ $\newline$ (C) $4$ and $5$ $\newline$ (D) $8$ and $9$

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Estimate positive and negative square roots

Full solution

Q. Which two integers is

\sqrt{38}

between?

\newline

Choices:

\newline

(A)

6

and

7

\newline

(B)

9

and

10

\newline

(C)

4

and

5

\newline

(D)

8

and

9

Identify Perfect Squares: Step $1$ : Identify the perfect squares closest to $38$ .
Calculate Square Root of $36$ : Step $2$ : Calculate the square root of $36$ .
Calculate Square Root of $49$ : Step $3$ : Calculate the square root of $49$ .
Determine Integer Range: Step $4$ : Determine between which integers $\sqrt{38}$ falls.

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