Question
between what two constructive integers is √152
Answers
GPT-4o mini
To find the two consecutive integers between which \( \sqrt{152} \) lies, we can estimate the square roots of numbers close to 152.
First, we know:
\[
12^2 = 144
\]
\[
13^2 = 169
\]
Since \( 144 < 152 < 169 \), it follows that:
\[
12 < \sqrt{152} < 13
\]
Thus, \( \sqrt{152} \) lies between the two integers 12 and 13.
First, we know:
\[
12^2 = 144
\]
\[
13^2 = 169
\]
Since \( 144 < 152 < 169 \), it follows that:
\[
12 < \sqrt{152} < 13
\]
Thus, \( \sqrt{152} \) lies between the two integers 12 and 13.