Question

Using rational approximations, what is an inequality statement comparing 21−−√
and 17−−√
? Enter <, >, or =.(1 point)
The inequality is: 21−−√

17−−√
.

Remaining Attempts : 3

Answer 1

To compare \( \sqrt{21} \) and \( \sqrt{17} \) using rational approximations, we can find the squares of each number and compare them directly.

1. Calculate \( 21 \) and \( 17 \):
\[
21 > 17
\]

2. Since the square root function is increasing, we can deduce that:
\[
\sqrt{21} > \sqrt{17}
\]

Thus, the inequality is:

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

So the answer is:

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