Using rational approximations what is an an equity statement comparing square root of 21 and square root of 17 enter more than or less than or equal to the square root of 21 blank square root 17

Answer 1

To compare \(\sqrt{21}\) and \(\sqrt{17}\) using rational approximations, we can find their approximate values:

1. Calculate the approximate values:

   • \(\sqrt{21} \approx 4.5826\)
   • \(\sqrt{17} \approx 4.1231\)

2. Comparing the values:

   • Since \(4.5826 > 4.1231\), we conclude that \(\sqrt{21} > \sqrt{17}\).

Therefore, the equity statement using the appropriate symbols is:

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

So the expression would be filled in as follows:

\(\sqrt{21} , \textgreater , \sqrt{17}\)