Davison Mcfarlane
06/09/2023 · Elementary School
\( \square < \sqrt { 130 } < \square \)
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Tutor-Verified Answer
Step-by-step Solution
To find the integers that satisfy the inequality \( \square < \sqrt{130} < \square \), we first need to calculate \( \sqrt{130} \).
Calculating \( \sqrt{130} \):
\[
\sqrt{130} \approx 11.4018
\]
Now, we need to find the integers that are less than and greater than \( 11.4018 \).
The largest integer less than \( 11.4018 \) is \( 11 \), and the smallest integer greater than \( 11.4018 \) is \( 12 \).
Thus, we can fill in the squares:
\[
11 < \sqrt{130} < 12
\]
So the final answer is:
\[
11 < \sqrt{130} < 12
\]
Quick Answer
11 < √130 < 12
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