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Which two integers is $-\sqrt{48}$ between? $\newline$ Choices: $\newline$ $[A]-6 \text{ and } -5$ $\newline$ $[B]5 \text{ and } 6$ $\newline$ $[C]-7 \text{ and } -6$ $\newline$ $[D]6 \text{ and } 7$

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Estimate positive and negative square roots

Full solution

Q. Which two integers is

-\sqrt{48}

between?

\newline

Choices:

\newline

[A]-6 \text{ and } -5

\newline

[B]5 \text{ and } 6

\newline

[C]-7 \text{ and } -6

\newline

[D]6 \text{ and } 7

Find Square Root: First, let's find the square root of $48$ . $\sqrt{48} \approx 6.93$
Take Negative: Since we're looking for $-\sqrt{48}$ , we take the negative of our result. $\newline$ $-\sqrt{48} \approx -6.93$
Identify Integers: Now, we need to find which two integers $-6.93$ is between. $\newline$ $-6.93$ is between $-7$ and $-6$ .
Check Choices: Check the choices to see which pair of integers matches our result. $\newline$ The correct choice is $[-7 \text{ and } -6]$ .

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