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Which two integers is $–\sqrt{44}$ between? $\newline$ Choices: $\newline$ (A) $6$ and $7$ $\newline$ (B) $–6$ and $–5$ $\newline$ (C) $5$ and $6$ $\newline$ (D) $–7$ and $–6$

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Estimate positive and negative square roots

Full solution

Q. Which two integers is

–\sqrt{44}

between?

\newline

Choices:

\newline

(A)

6

and

7

\newline

(B)

–6

and

–5

\newline

(C)

5

and

6

\newline

(D)

–7

and

–6

Identify perfect squares: Step $1$ : Identify the perfect squares closest to $44$ .
Calculate square roots: Step $2$ : Calculate the square roots of $36$ and $49$ .
Determine negative roots: Step $3$ : Determine the negative square roots.
Place negative square root: Step $4$ : Place $-\sqrt{44}$ between the two calculated negative square roots.

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