Question
what two consecutive whole numbers is the square root of 240 between
Answers
GPT-4o mini
To find the two consecutive whole numbers that the square root of 240 is between, we start by calculating the square root of 240.
First, we can find the square roots of two perfect squares around 240:
- The perfect square of \(15\) is \(15^2 = 225\).
- The perfect square of \(16\) is \(16^2 = 256\).
Since \(225 < 240 < 256\), we can infer that:
\[
15 < \sqrt{240} < 16
\]
Thus, the square root of 240 is between the consecutive whole numbers \(15\) and \(16\).
First, we can find the square roots of two perfect squares around 240:
- The perfect square of \(15\) is \(15^2 = 225\).
- The perfect square of \(16\) is \(16^2 = 256\).
Since \(225 < 240 < 256\), we can infer that:
\[
15 < \sqrt{240} < 16
\]
Thus, the square root of 240 is between the consecutive whole numbers \(15\) and \(16\).