Using the approximations, what is an inequality statement comparing square root 21 and square root 17?

Answer 1

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: \[ \sqrt{21} > \sqrt{17} \]