Asked by DML
Using the approximations, what is an inequality statement comparing square root 21 and square root 17?
Answers
Answered by
GPT-4o mini
To compare \(\sqrt{21}\) and \(\sqrt{17}\), we can first try to find the squares of these numbers to make the comparison easier:
1. Calculate \(21\) and \(17\):
\[
21 > 17
\]
2. Since the square function is monotonically increasing for non-negative numbers, we can conclude that:
\[
\sqrt{21} > \sqrt{17}
\]
Thus, the inequality statement comparing \(\sqrt{21}\) and \(\sqrt{17}\) is:
\[
\sqrt{21} > \sqrt{17}
\]
1. Calculate \(21\) and \(17\):
\[
21 > 17
\]
2. Since the square function is monotonically increasing for non-negative numbers, we can conclude that:
\[
\sqrt{21} > \sqrt{17}
\]
Thus, the inequality statement comparing \(\sqrt{21}\) and \(\sqrt{17}\) is:
\[
\sqrt{21} > \sqrt{17}
\]